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28352978140284 = 2235737671106213
BaseRepresentation
bin1100111001001011100010…
…01100001011110001111100
310201101111222210111022100000
412130211301030023301330
512204013344400442114
6140145102304434300
75654302141516140
oct634456114136174
9121344883438300
1028352978140284
119041480aaa486
12321abb7018990
1312a889c775ca5
14700411ac5220
153427d5526e09
hex19c97130bc7c

28352978140284 has 144 divisors (see below), whose sum is σ = 84964881351168. Its totient is φ = 8098693098048.

The previous prime is 28352978140213. The next prime is 28352978140297. The reversal of 28352978140284 is 48204187925382.

28352978140284 is a `hidden beast` number, since 2 + 8 + 3 + 529 + 7 + 81 + 4 + 0 + 28 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25077562 + ... + 26183774.

It is an arithmetic number, because the mean of its divisors is an integer number (590033898272).

Almost surely, 228352978140284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28352978140284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42482440675584).

28352978140284 is an abundant number, since it is smaller than the sum of its proper divisors (56611903210884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28352978140284 is a wasteful number, since it uses less digits than its factorization.

28352978140284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110006 (or 1109992 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 28352978140284 in words is "twenty-eight trillion, three hundred fifty-two billion, nine hundred seventy-eight million, one hundred forty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 3767 6804 7534 11301 15068 22602 26369 33903 45204 52738 67806 79107 101709 105476 135612 158214 203418 237321 305127 316428 406836 474642 610254 711963 915381 949284 1106213 1220508 1423926 1830762 2135889 2212426 2847852 3318639 3661524 4271778 4424852 6407667 6637278 7743491 8543556 9955917 12815334 13274556 15486982 19911834 23230473 25630668 29867751 30973964 39823668 46460946 59735502 69691419 89603253 92921892 119471004 139382838 179206506 209074257 268809759 278765676 358413012 418148514 537619518 627222771 836297028 1075239036 1254445542 1881668313 2508891084 3763336626 4167104371 7526673252 8334208742 12501313113 16668417484 25002626226 29169730597 37503939339 50005252452 58339461194 75007878678 87509191791 112511818017 116678922388 150015757356 175018383582 225023636034 262527575373 337535454051 350036767164 450047272068 525055150746 675070908102 787582726119 1012606362153 1050110301492 1350141816204 1575165452238 2025212724306 2362748178357 3150330904476 4050425448612 4725496356714 7088244535071 9450992713428 14176489070142 28352978140284