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28458077004 = 2235731134921
BaseRepresentation
bin11010100000001110…
…111100101101001100
32201110021220002200000
4122200032330231030
5431240231431004
621023511204300
72025134443350
oct324016745514
981407802600
1028458077004
111108392a505
125622676690
1328b6ab4c26
14153d751460
15b1859cc39
hex6a03bcb4c

28458077004 has 144 divisors (see below), whose sum is σ = 88008001536. Its totient is φ = 7868534400.

The previous prime is 28458076979. The next prime is 28458077023. The reversal of 28458077004 is 40077085482.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143464 + ... + 278384.

Almost surely, 228458077004 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 28458077004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44004000768).

28458077004 is an abundant number, since it is smaller than the sum of its proper divisors (59549924532).

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

28458077004 is a wasteful number, since it uses less digits than its factorization.

28458077004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134978 (or 134964 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 28458077004 in words is "twenty-eight billion, four hundred fifty-eight million, seventy-seven thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 243 252 279 324 372 378 434 486 558 567 651 756 837 868 972 1116 1134 1302 1674 1701 1953 2268 2511 2604 3348 3402 3906 5022 5859 6804 7533 7812 10044 11718 15066 17577 23436 30132 35154 52731 70308 105462 134921 210924 269842 404763 539684 809526 944447 1214289 1619052 1888894 2428578 2833341 3642867 3777788 4182551 4857156 5666682 7285734 8365102 8500023 10928601 11333364 12547653 14571468 16730204 17000046 21857202 25095306 25500069 29277857 32785803 34000092 37642959 43714404 50190612 51000138 58555714 65571606 75285918 76500207 87833571 102000276 112928877 117111428 131143212 150571836 153000414 175667142 225857754 229500621 263500713 306000828 338786631 351334284 451715508 459001242 527001426 677573262 790502139 918002484 1016359893 1054002852 1355146524 1581004278 2032719786 2371506417 3162008556 4065439572 4743012834 7114519251 9486025668 14229038502 28458077004