58280 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 22080.

The previous prime is 58271. The next prime is 58309. The reversal of 58280 is 8285.

58280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 5.

It is an unprimeable number.

58280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1217 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁵⁸²⁸⁰ 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 58280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

58280 is an abundant number, since it is smaller than the sum of its proper divisors (79960).

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

58280 is a wasteful number, since it uses less digits than its factorization.

58280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 58280 is about 241.4125100321. The cubic root of 58280 is about 38.7709564064.

The spelling of 58280 in words is "fifty-eight thousand, two hundred eighty".