5604251328 has 280 divisors, whose sum is σ = 18050938752. Its totient is φ = 1708978176.

The previous prime is 5604251311. The next prime is 5604251347. The reversal of 5604251328 is 8231524065.

5604251328 is a `hidden beast` number, since 5 + 604 + 25 + 1 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5604251292 and 5604251301.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9232401 + ... + 9233007.

Almost surely, 2^5604251328 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 5604251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025469376).

5604251328 is an abundant number, since it is smaller than the sum of its proper divisors (12446687424).

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

5604251328 is a wasteful number, since it uses less digits than its factorization.

5604251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5604251328 is about 74861.5477264530. The cubic root of 5604251328 is about 1776.2572673329.

The spelling of 5604251328 in words is "five billion, six hundred four million, two hundred fifty-one thousand, three hundred twenty-eight".