57427128 has 96 divisors (see below), whose sum is σ = 175219200. Its totient is φ = 16833600.

The previous prime is 57427093. The next prime is 57427147. The reversal of 57427128 is 82172475.

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 = 57427092 and 57427101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23383 + ... + 25721.

It is an arithmetic number, because the mean of its divisors is an integer number (1825200).

Almost surely, 2^57427128 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 57427128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87609600).

57427128 is an abundant number, since it is smaller than the sum of its proper divisors (117792072).

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

57427128 is a wasteful number, since it uses less digits than its factorization.

57427128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2386 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 57427128 is about 7578.0688832974. The cubic root of 57427128 is about 385.8090100101.

The spelling of 57427128 in words is "fifty-seven million, four hundred twenty-seven thousand, one hundred twenty-eight".