58879200 has 72 divisors (see below), whose sum is σ = 191659608. Its totient is φ = 15700480.

The previous prime is 58879187. The next prime is 58879207. The reversal of 58879200 is 297885.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58879207) by changing a digit.

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, 9867 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (2661939).

Almost surely, 2^58879200 is an apocalyptic number.

58879200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58879200 is an abundant number, since it is smaller than the sum of its proper divisors (132780408).

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

58879200 is a wasteful number, since it uses less digits than its factorization.

58879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24556 (or 24543 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 58879200 is about 7673.2783085198. The cubic root of 58879200 is about 389.0337685433.

The spelling of 58879200 in words is "fifty-eight million, eight hundred seventy-nine thousand, two hundred".