628580 has 24 divisors (see below), whose sum is σ = 1347192. Its totient is φ = 246272.

The previous prime is 628561. The next prime is 628583. The reversal of 628580 is 85826.

It is a happy number.

628580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 487204 = 376^2 + 698^2 .

It is a super-2 number, since 2×628580² = 790225632800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (628583) by changing a digit.

628580 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, 764 + ... + 1356.

It is an arithmetic number, because the mean of its divisors is an integer number (56133).

2⁶²⁸⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

628580 is an abundant number, since it is smaller than the sum of its proper divisors (718612).

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

628580 is a wasteful number, since it uses less digits than its factorization.

628580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 628580 is about 792.8303727784. The cubic root of 628580 is about 85.6617323352.

The spelling of 628580 in words is "six hundred twenty-eight thousand, five hundred eighty".