58528 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 27840.

The previous prime is 58511. The next prime is 58537. The reversal of 58528 is 82585.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

Its product of digits (3200) is a multiple of the sum of its prime factors (100).

It is a junction number, because it is equal to n+sod(n) for n = 58496 and 58505.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 963 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵⁸⁵²⁸ 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 58528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

58528 is an abundant number, since it is smaller than the sum of its proper divisors (62432).

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

58528 is a wasteful number, since it uses less digits than its factorization.

58528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its digits is 3200, while the sum is 28.

The square root of 58528 is about 241.9256084006. The cubic root of 58528 is about 38.8258728487.

The spelling of 58528 in words is "fifty-eight thousand, five hundred twenty-eight".