56628000 has 432 divisors, whose sum is σ = 237896568. Its totient is φ = 12672000.

The previous prime is 56627959. The next prime is 56628031. The reversal of 56628000 is 82665.

It can be written as a sum of positive squares in 4 ways, for example, as 7683984 + 48944016 = 2772^2 + 6996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4355994 + ... + 4356006.

Almost surely, 2^56628000 is an apocalyptic number.

56628000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118948284).

56628000 is an abundant number, since it is smaller than the sum of its proper divisors (181268568).

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

56628000 is a wasteful number, since it uses less digits than its factorization.

56628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56628000 is about 7525.1578056543. The cubic root of 56628000 is about 384.0110673894.

The spelling of 56628000 in words is "fifty-six million, six hundred twenty-eight thousand".