628300 has 36 divisors (see below), whose sum is σ = 1399216. Its totient is φ = 244800.

The previous prime is 628289. The next prime is 628301. The reversal of 628300 is 3826.

628300 = 21³ + 22³ + ... + 40³.

It is not an unprimeable number, because it can be changed into a prime (628301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6049 + ... + 6151.

2⁶²⁸³⁰⁰ 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 628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699608).

628300 is an abundant number, since it is smaller than the sum of its proper divisors (770916).

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

628300 is a wasteful number, since it uses less digits than its factorization.

628300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 628300 is about 792.6537705707. The cubic root of 628300 is about 85.6490111502.

The spelling of 628300 in words is "six hundred twenty-eight thousand, three hundred".