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28928306680992 = 2532457219793237
BaseRepresentation
bin1101001001111011001010…
…11100011001010010100000
310210102112000102122101010200
412210331211130121102200
512242430133002242432
6141305251452025200
76044000256442335
oct644754534312240
9123375012571120
1028928306680992
119243475a644a4
1232b25bb462200
13131ac09c7b774
147201cd4a498c
1535275946ca7c
hex1a4f657194a0

28928306680992 has 72 divisors (see below), whose sum is σ = 82444883160276. Its totient is φ = 9621668699136.

The previous prime is 28928306680969. The next prime is 28928306681033. The reversal of 28928306680992 is 29908660382982.

28928306680992 is a `hidden beast` number, since 289 + 283 + 0 + 6 + 68 + 0 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28208463034896 + 719843646096 = 5311164^2 + 848436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 28928306680992.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109765003 + ... + 110028234.

Almost surely, 228928306680992 is an apocalyptic number.

It is an amenable number.

28928306680992 is an abundant number, since it is smaller than the sum of its proper divisors (53516576479284).

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

28928306680992 is a wasteful number, since it uses less digits than its factorization.

28928306680992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219793710 (or 219793699 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 28928306680992 in words is "twenty-eight trillion, nine hundred twenty-eight billion, three hundred six million, six hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 457 914 1371 1828 2742 3656 4113 5484 7312 8226 10968 14624 16452 21936 32904 43872 65808 131616 219793237 439586474 659379711 879172948 1318759422 1758345896 1978139133 2637518844 3516691792 3956278266 5275037688 7033383584 7912556532 10550075376 15825113064 21100150752 31650226128 63300452256 100445509309 200891018618 301336527927 401782037236 602673055854 803564074472 904009583781 1205346111708 1607128148944 1808019167562 2410692223416 3214256297888 3616038335124 4821384446832 7232076670248 9642768893664 14464153340496 28928306680992