628588800 has 324 divisors, whose sum is σ = 2570043840. Its totient is φ = 143585280.

The previous prime is 628588783. The next prime is 628588801. The reversal of 628588800 is 8885826.

628588800 is a `hidden beast` number, since 62 + 8 + 588 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (628588801) 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 35 ways as a sum of consecutive naturals, for example, 402421 + ... + 403979.

Almost surely, 2^628588800 is an apocalyptic number.

628588800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285021920).

628588800 is an abundant number, since it is smaller than the sum of its proper divisors (1941455040).

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

628588800 is a wasteful number, since it uses less digits than its factorization.

628588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 628588800 is about 25071.6732588792. The cubic root of 628588800 is about 856.6213208261.

The spelling of 628588800 in words is "six hundred twenty-eight million, five hundred eighty-eight thousand, eight hundred".