628973600 has 72 divisors (see below), whose sum is σ = 1549783620. Its totient is φ = 249246720.

The previous prime is 628973581. The next prime is 628973641. The reversal of 628973600 is 6379826.

It can be written as a sum of positive squares in 6 ways, for example, as 400480144 + 228493456 = 20012^2 + 15116^2 .

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, 83594 + ... + 90806.

Almost surely, 2^628973600 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 628973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774891810).

628973600 is an abundant number, since it is smaller than the sum of its proper divisors (920810020).

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

628973600 is a wasteful number, since it uses less digits than its factorization.

628973600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 628973600 is about 25079.3460839791. The cubic root of 628973600 is about 856.7960830050.

The spelling of 628973600 in words is "six hundred twenty-eight million, nine hundred seventy-three thousand, six hundred".