58828 has 24 divisors (see below), whose sum is σ = 129024. Its totient is φ = 22800.

The previous prime is 58789. The next prime is 58831. The reversal of 58828 is 82885.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 58828.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 403.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2⁵⁸⁸²⁸ 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 58828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512).

58828 is an abundant number, since it is smaller than the sum of its proper divisors (70196).

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

58828 is a wasteful number, since it uses less digits than its factorization.

58828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its digits is 5120, while the sum is 31.

The square root of 58828 is about 242.5448412150. The cubic root of 58828 is about 38.8920970898.

It can be divided in two parts, 588 and 28, that added together give a palindrome (616).

The spelling of 58828 in words is "fifty-eight thousand, eight hundred twenty-eight".