580728 has 16 divisors (see below), whose sum is σ = 1451880. Its totient is φ = 193568.

The previous prime is 580717. The next prime is 580733. The reversal of 580728 is 827085.

580728 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 = 580695 and 580704.

It is a congruent number.

It is an unprimeable number.

580728 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 3 ways as a sum of consecutive naturals, for example, 12075 + ... + 12122.

2⁵⁸⁰⁷²⁸ is an apocalyptic number.

It is an amenable number.

580728 is an abundant number, since it is smaller than the sum of its proper divisors (871152).

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

580728 is a wasteful number, since it uses less digits than its factorization.

580728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24206 (or 24202 counting only the distinct ones).

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

The square root of 580728 is about 762.0551161169. The cubic root of 580728 is about 83.4303864799.

The spelling of 580728 in words is "five hundred eighty thousand, seven hundred twenty-eight".