58979728 has 40 divisors (see below), whose sum is σ = 119867328. Its totient is φ = 28060032.

The previous prime is 58979653. The next prime is 58979759. The reversal of 58979728 is 82797985.

58979728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107551 + ... + 108097.

Almost surely, 2^58979728 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 58979728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59933664).

58979728 is an abundant number, since it is smaller than the sum of its proper divisors (60887600).

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

58979728 is a wasteful number, since it uses less digits than its factorization.

58979728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 55.

The square root of 58979728 is about 7679.8260396965. The cubic root of 58979728 is about 389.2550495739.

It can be divided in two parts, 5897 and 9728, that added together give a 6-th power (15625 = 5⁶).

The spelling of 58979728 in words is "fifty-eight million, nine hundred seventy-nine thousand, seven hundred twenty-eight".