57764128 has 48 divisors (see below), whose sum is σ = 117331200. Its totient is φ = 27979776.

The previous prime is 57764107. The next prime is 57764137. The reversal of 57764128 is 82146775.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290173 + ... + 290371.

It is an arithmetic number, because the mean of its divisors is an integer number (2444400).

Almost surely, 2^57764128 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 57764128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58665600).

57764128 is an abundant number, since it is smaller than the sum of its proper divisors (59567072).

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

57764128 is a wasteful number, since it uses less digits than its factorization.

57764128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 57764128 is about 7600.2715740952. The cubic root of 57764128 is about 386.5622204354.

The spelling of 57764128 in words is "fifty-seven million, seven hundred sixty-four thousand, one hundred twenty-eight".