58978592 has 48 divisors (see below), whose sum is σ = 120609720. Its totient is φ = 28366848.

The previous prime is 58978589. The next prime is 58978607. The reversal of 58978592 is 29587985.

It can be written as a sum of positive squares in 4 ways, for example, as 57820816 + 1157776 = 7604^2 + 1076^2 .

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 7 ways as a sum of consecutive naturals, for example, 128828 + ... + 129284.

Almost surely, 2^58978592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58978592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60304860).

58978592 is an abundant number, since it is smaller than the sum of its proper divisors (61631128).

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

58978592 is a wasteful number, since it uses less digits than its factorization.

58978592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 53.

The square root of 58978592 is about 7679.7520793317. The cubic root of 58978592 is about 389.2525504295.

The spelling of 58978592 in words is "fifty-eight million, nine hundred seventy-eight thousand, five hundred ninety-two".