57535128 has 48 divisors (see below), whose sum is σ = 178086480. Its totient is φ = 16438464.

The previous prime is 57535109. The next prime is 57535141. The reversal of 57535128 is 82153575.

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 = 57535092 and 57535101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56575 + ... + 57582.

It is an arithmetic number, because the mean of its divisors is an integer number (3710135).

Almost surely, 2^57535128 is an apocalyptic number.

It is an amenable number.

57535128 is an abundant number, since it is smaller than the sum of its proper divisors (120551352).

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

57535128 is a wasteful number, since it uses less digits than its factorization.

57535128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114176 (or 114169 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 57535128 is about 7585.1913621213. The cubic root of 57535128 is about 386.0507150561.

The spelling of 57535128 in words is "fifty-seven million, five hundred thirty-five thousand, one hundred twenty-eight".