5904880128 has 320 divisors, whose sum is σ = 20165376000. Its totient is φ = 1671155712.

The previous prime is 5904880123. The next prime is 5904880133. The reversal of 5904880128 is 8210884095.

It is a happy number.

5904880128 is a `hidden beast` number, since 590 + 48 + 8 + 0 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5904880123) and next prime (5904880133).

It is not an unprimeable number, because it can be changed into a prime (5904880123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13450533 + ... + 13450971.

It is an arithmetic number, because the mean of its divisors is an integer number (63016800).

Almost surely, 2^5904880128 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 5904880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10082688000).

5904880128 is an abundant number, since it is smaller than the sum of its proper divisors (14260495872).

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

5904880128 is a wasteful number, since it uses less digits than its factorization.

5904880128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5904880128 is about 76843.2178399629. The cubic root of 5904880128 is about 1807.4669376367.

The spelling of 5904880128 in words is "five billion, nine hundred four million, eight hundred eighty thousand, one hundred twenty-eight".