628125 has 24 divisors (see below), whose sum is σ = 1062432. Its totient is φ = 330000.

The previous prime is 628097. The next prime is 628127. The reversal of 628125 is 521826.

It is not a de Polignac number, because 628125 - 2⁵ = 628093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 628095 and 628104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9342 + ... + 9408.

It is an arithmetic number, because the mean of its divisors is an integer number (44268).

2⁶²⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

628125 is a deficient number, since it is larger than the sum of its proper divisors (434307).

628125 is an frugal number, since it uses more digits than its factorization.

628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 628125 is about 792.5433742074. The cubic root of 628125 is about 85.6410584903.

The spelling of 628125 in words is "six hundred twenty-eight thousand, one hundred twenty-five".