58057200 has 90 divisors (see below), whose sum is σ = 201487104. Its totient is φ = 15480960.

The previous prime is 58057183. The next prime is 58057211. The reversal of 58057200 is 275085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4464 + ... + 11663.

Almost surely, 2^58057200 is an apocalyptic number.

58057200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58057200 is an abundant number, since it is smaller than the sum of its proper divisors (143429904).

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

58057200 is a wasteful number, since it uses less digits than its factorization.

58057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16151 (or 16137 counting only the distinct ones).

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

The square root of 58057200 is about 7619.5275444085. The cubic root of 58057200 is about 387.2148717622.

The spelling of 58057200 in words is "fifty-eight million, fifty-seven thousand, two hundred".