8125604928 has 504 divisors, whose sum is σ = 28837396224. Its totient is φ = 2177280000.

The previous prime is 8125604909. The next prime is 8125604947. The reversal of 8125604928 is 8294065218.

8125604928 is a `hidden beast` number, since 8 + 12 + 5 + 604 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (8125604909) and next prime (8125604947).

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32372803 + ... + 32373053.

It is an arithmetic number, because the mean of its divisors is an integer number (57217056).

Almost surely, 2^8125604928 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 8125604928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418698112).

8125604928 is an abundant number, since it is smaller than the sum of its proper divisors (20711791296).

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

8125604928 is a wasteful number, since it uses less digits than its factorization.

8125604928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8125604928 is about 90142.1373609479. The cubic root of 8125604928 is about 2010.4127703557.

The spelling of 8125604928 in words is "eight billion, one hundred twenty-five million, six hundred four thousand, nine hundred twenty-eight".