625580928 has 256 divisors, whose sum is σ = 2222784000. Its totient is φ = 169205760.

The previous prime is 625580927. The next prime is 625580939. The reversal of 625580928 is 829085526.

625580928 is a `hidden beast` number, since 6 + 2 + 558 + 0 + 92 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625580927) 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, 458968 + ... + 460328.

It is an arithmetic number, because the mean of its divisors is an integer number (8682750).

Almost surely, 2^625580928 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 625580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111392000).

625580928 is an abundant number, since it is smaller than the sum of its proper divisors (1597203072).

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

625580928 is a wasteful number, since it uses less digits than its factorization.

625580928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 625580928 is about 25011.6158614353. The cubic root of 625580928 is about 855.2527907492.

The spelling of 625580928 in words is "six hundred twenty-five million, five hundred eighty thousand, nine hundred twenty-eight".