57052800 has 288 divisors, whose sum is σ = 233482080. Its totient is φ = 12994560.

The previous prime is 57052769. The next prime is 57052813. The reversal of 57052800 is 825075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 201459 + ... + 201741.

Almost surely, 2^57052800 is an apocalyptic number.

57052800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116741040).

57052800 is an abundant number, since it is smaller than the sum of its proper divisors (176429280).

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

57052800 is a wasteful number, since it uses less digits than its factorization.

57052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 57052800 is about 7553.3303912910. The cubic root of 57052800 is about 384.9689073670.

Adding to 57052800 its reverse (825075), we get a palindrome (57877875).

The spelling of 57052800 in words is "fifty-seven million, fifty-two thousand, eight hundred".