628828000 has 48 divisors (see below), whose sum is σ = 1545040224. Its totient is φ = 251529600.

The previous prime is 628827989. The next prime is 628828007. The reversal of 628828000 is 828826.

It is a happy number.

628828000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628828007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74604 + ... + 82603.

It is an arithmetic number, because the mean of its divisors is an integer number (32188338).

Almost surely, 2^628828000 is an apocalyptic number.

It is an amenable number.

628828000 is an abundant number, since it is smaller than the sum of its proper divisors (916212224).

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

628828000 is a wasteful number, since it uses less digits than its factorization.

628828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157232 (or 157214 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 628828000 is about 25076.4431289607. The cubic root of 628828000 is about 856.7299651600.

The spelling of 628828000 in words is "six hundred twenty-eight million, eight hundred twenty-eight thousand".