57128000 has 112 divisors (see below), whose sum is σ = 146054064. Its totient is φ = 22118400.

The previous prime is 57127991. The next prime is 57128017. The reversal of 57128000 is 82175.

It can be written as a sum of positive squares in 8 ways, for example, as 13778944 + 43349056 = 3712^2 + 6584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295904 + ... + 296096.

Almost surely, 2^57128000 is an apocalyptic number.

57128000 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 57128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73027032).

57128000 is an abundant number, since it is smaller than the sum of its proper divisors (88926064).

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

57128000 is a wasteful number, since it uses less digits than its factorization.

57128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 57128000 is about 7558.3066886704. The cubic root of 57128000 is about 385.1379726997.

The spelling of 57128000 in words is "fifty-seven million, one hundred twenty-eight thousand".