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28304076120 = 23354122725343
BaseRepresentation
bin11010010111000011…
…011110110101011000
32201001120010001011120
4122113003132311120
5430431320413440
621000330325240
72021254451235
oct322703366530
981046101146
1028304076120
1111004a05351
12559ab89820
132890c14c48
14152710478c
15b09cccdd0
hex6970ded58

28304076120 has 128 divisors (see below), whose sum is σ = 87369891840. Its totient is φ = 7330933760.

The previous prime is 28304076113. The next prime is 28304076127. The reversal of 28304076120 is 2167040382.

It is an interprime number because it is at equal distance from previous prime (28304076113) and next prime (28304076127).

It is a super-2 number, since 2×283040761202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28304076127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104169 + ... + 1129511.

It is an arithmetic number, because the mean of its divisors is an integer number (682577280).

Almost surely, 228304076120 is an apocalyptic number.

28304076120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28304076120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43684945920).

28304076120 is an abundant number, since it is smaller than the sum of its proper divisors (59065815720).

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

28304076120 is a wasteful number, since it uses less digits than its factorization.

28304076120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25625 (or 25621 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 28304076120 in words is "twenty-eight billion, three hundred four million, seventy-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 227 246 328 410 454 492 615 681 820 908 984 1135 1230 1362 1640 1816 2270 2460 2724 3405 4540 4920 5448 6810 9080 9307 13620 18614 25343 27240 27921 37228 46535 50686 55842 74456 76029 93070 101372 111684 126715 139605 152058 186140 202744 223368 253430 279210 304116 372280 380145 506860 558420 608232 760290 1013720 1039063 1116840 1520580 2078126 3041160 3117189 4156252 5195315 5752861 6234378 8312504 10390630 11505722 12468756 15585945 17258583 20781260 23011444 24937512 28764305 31171890 34517166 41562520 46022888 57528610 62343780 69034332 86292915 115057220 124687560 138068664 172585830 230114440 235867301 345171660 471734602 690343320 707601903 943469204 1179336505 1415203806 1886938408 2358673010 2830407612 3538009515 4717346020 5660815224 7076019030 9434692040 14152038060 28304076120