58981728 has 96 divisors (see below), whose sum is σ = 168327936. Its totient is φ = 17975808.

The previous prime is 58981697. The next prime is 58981771. The reversal of 58981728 is 82718985.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208275 + ... + 208557.

It is an arithmetic number, because the mean of its divisors is an integer number (1753416).

Almost surely, 2^58981728 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 58981728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84163968).

58981728 is an abundant number, since it is smaller than the sum of its proper divisors (109346208).

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

58981728 is a wasteful number, since it uses less digits than its factorization.

58981728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its digits is 322560, while the sum is 48.

The square root of 58981728 is about 7679.9562498754. The cubic root of 58981728 is about 389.2594493981.

It can be divided in two parts, 5898 and 1728, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 58981728 in words is "fifty-eight million, nine hundred eighty-one thousand, seven hundred twenty-eight".