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28920096288 = 2532372713973
BaseRepresentation
bin11010111011110001…
…011010011000100000
32202122111021002222100
4122323301122120200
5433212021040123
621141414010400
72042444522346
oct327361323040
982574232870
1028920096288
11112a0705426
125731346a00
13295b72c615
141584c5b996
15b43e12643
hex6bbc5a620

28920096288 has 72 divisors (see below), whose sum is σ = 84464298828. Its totient is φ = 9379487232.

The previous prime is 28920096277. The next prime is 28920096301. The reversal of 28920096288 is 88269002982.

28920096288 is a `hidden beast` number, since 2 + 8 + 9 + 2 + 0 + 0 + 9 + 628 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28909520784 + 10575504 = 170028^2 + 3252^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 1346331 + ... + 1367642.

Almost surely, 228920096288 is an apocalyptic number.

It is an amenable number.

28920096288 is an abundant number, since it is smaller than the sum of its proper divisors (55544202540).

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

28920096288 is a wasteful number, since it uses less digits than its factorization.

28920096288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714026 (or 2714015 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 28920096288 in words is "twenty-eight billion, nine hundred twenty million, ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 2713973 5427946 8141919 10855892 16283838 21711784 24425757 32567676 43423568 48851514 65135352 86847136 97703028 100417001 130270704 195406056 200834002 260541408 301251003 390812112 401668004 602502006 781624224 803336008 903753009 1205004012 1606672016 1807506018 2410008024 3213344032 3615012036 4820016048 7230024072 9640032096 14460048144 28920096288