58728 has 16 divisors (see below), whose sum is σ = 146880. Its totient is φ = 19568.

The previous prime is 58727. The next prime is 58733. The reversal of 58728 is 82785.

58728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 58695 and 58704.

It is not an unprimeable number, because it can be changed into a prime (58727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1200 + ... + 1247.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2⁵⁸⁷²⁸ is an apocalyptic number.

It is an amenable number.

58728 is an abundant number, since it is smaller than the sum of its proper divisors (88152).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

58728 is a wasteful number, since it uses less digits than its factorization.

58728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2452 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 58728 is about 242.3386060866. The cubic root of 58728 is about 38.8700474110.

It can be divided in two parts, 58 and 728, that multiplied together give a palindrome (42224).

The spelling of 58728 in words is "fifty-eight thousand, seven hundred twenty-eight".