57863200 has 72 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 22944000.

The previous prime is 57863191. The next prime is 57863209. The reversal of 57863200 is 236875.

It is an interprime number because it is at equal distance from previous prime (57863191) and next prime (57863209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57863209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120561 + ... + 121039.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2^57863200 is an apocalyptic number.

57863200 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 57863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

57863200 is an abundant number, since it is smaller than the sum of its proper divisors (84627680).

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

57863200 is a wasteful number, since it uses less digits than its factorization.

57863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 57863200 is about 7606.7864436962. The cubic root of 57863200 is about 386.7830934906.

The spelling of 57863200 in words is "fifty-seven million, eight hundred sixty-three thousand, two hundred".