5604672528 has 720 divisors, whose sum is σ = 21322968576. Its totient is φ = 1410877440.

The previous prime is 5604672517. The next prime is 5604672529. The reversal of 5604672528 is 8252764065.

5604672528 is a `hidden beast` number, since 5 + 60 + 4 + 67 + 2 + 528 = 666.

It is a super-2 number, since 2×5604672528² = 62824708292235821568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5604672529) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76776300 + ... + 76776372.

Almost surely, 2^5604672528 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 5604672528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661484288).

5604672528 is an abundant number, since it is smaller than the sum of its proper divisors (15718296048).

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

5604672528 is a wasteful number, since it uses less digits than its factorization.

5604672528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

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

The square root of 5604672528 is about 74864.3608668370. The cubic root of 5604672528 is about 1776.3017657429.

The spelling of 5604672528 in words is "five billion, six hundred four million, six hundred seventy-two thousand, five hundred twenty-eight".