57628944 has 120 divisors (see below), whose sum is σ = 169801632. Its totient is φ = 18224640.

The previous prime is 57628939. The next prime is 57628951. The reversal of 57628944 is 44982675.

It is a happy number.

57628944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57628944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253759 + ... + 253985.

Almost surely, 2^57628944 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 57628944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84900816).

57628944 is an abundant number, since it is smaller than the sum of its proper divisors (112172688).

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

57628944 is a wasteful number, since it uses less digits than its factorization.

57628944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 57628944 is about 7591.3729983449. The cubic root of 57628944 is about 386.2604307988.

It can be divided in two parts, 5762 and 8944, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 57628944 in words is "fifty-seven million, six hundred twenty-eight thousand, nine hundred forty-four".