628294400 has 108 divisors (see below), whose sum is σ = 1569399552. Its totient is φ = 249016320.

The previous prime is 628294399. The next prime is 628294439. The reversal of 628294400 is 4492826.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 812414 + ... + 813186.

Almost surely, 2^628294400 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 628294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784699776).

628294400 is an abundant number, since it is smaller than the sum of its proper divisors (941105152).

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

628294400 is a wasteful number, since it uses less digits than its factorization.

628294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 628294400 is about 25065.8014035059. The cubic root of 628294400 is about 856.4875668796.

The spelling of 628294400 in words is "six hundred twenty-eight million, two hundred ninety-four thousand, four hundred".