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28625560704 = 273413217312
BaseRepresentation
bin11010101010001101…
…110110010010000000
32201212222001011010000
4122222031312102000
5432111120420304
621052253040000
72032240152126
oct325215662200
981788034100
1028625560704
111115a423494
12566a786000
1329126c5b00
141557aab916
15b28132939
hex6aa376480

28625560704 has 720 divisors, whose sum is σ = 100924915410. Its totient is φ = 8022343680.

The previous prime is 28625560703. The next prime is 28625560709. The reversal of 28625560704 is 40706552682.

28625560704 is a `hidden beast` number, since 2 + 86 + 2 + 5 + 560 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18537367104 + 10088193600 = 136152^2 + 100440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28625560704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28625560703) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 923405169 + ... + 923405199.

Almost surely, 228625560704 is an apocalyptic number.

28625560704 is a gapful number since it is divisible by the number (24) 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 28625560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50462457705).

28625560704 is an abundant number, since it is smaller than the sum of its proper divisors (72299354706).

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

28625560704 is a wasteful number, since it uses less digits than its factorization.

28625560704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 28625560704 in words is "twenty-eight billion, six hundred twenty-five million, five hundred sixty thousand, seven hundred four".