57289824 has 72 divisors (see below), whose sum is σ = 165405240. Its totient is φ = 18805248.

The previous prime is 57289777. The next prime is 57289861. The reversal of 57289824 is 42898275.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 57289824.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 17812 + ... + 20780.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 2^57289824 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 57289824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82702620).

57289824 is an abundant number, since it is smaller than the sum of its proper divisors (108115416).

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

57289824 is a wasteful number, since it uses less digits than its factorization.

57289824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3041 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 57289824 is about 7569.0041617111. The cubic root of 57289824 is about 385.5012843957.

The spelling of 57289824 in words is "fifty-seven million, two hundred eighty-nine thousand, eight hundred twenty-four".