57282800 has 60 divisors (see below), whose sum is σ = 139629456. Its totient is φ = 22579200.

The previous prime is 57282791. The next prime is 57282839. The reversal of 57282800 is 828275.

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, 27392 + ... + 29408.

Almost surely, 2^57282800 is an apocalyptic number.

57282800 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 57282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69814728).

57282800 is an abundant number, since it is smaller than the sum of its proper divisors (82346656).

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

57282800 is a wasteful number, since it uses less digits than its factorization.

57282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 57282800 is about 7568.5401498572. The cubic root of 57282800 is about 385.4855289991.

The spelling of 57282800 in words is "fifty-seven million, two hundred eighty-two thousand, eight hundred".