57382944 has 96 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 18278400.

The previous prime is 57382943. The next prime is 57382951. The reversal of 57382944 is 44928375.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 57382896 and 57382905.

It is not an unprimeable number, because it can be changed into a prime (57382943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 239977 + ... + 240215.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^57382944 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 57382944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

57382944 is an abundant number, since it is smaller than the sum of its proper divisors (100106976).

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

57382944 is a wasteful number, since it uses less digits than its factorization.

57382944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 57382944 is about 7575.1530677604. The cubic root of 57382944 is about 385.7100384404.

The spelling of 57382944 in words is "fifty-seven million, three hundred eighty-two thousand, nine hundred forty-four".