628363008 has 504 divisors, whose sum is σ = 2377073888. Its totient is φ = 161243136.

The previous prime is 628362989. The next prime is 628363063. The reversal of 628363008 is 800363826.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 16982766 + ... + 16982802.

Almost surely, 2^628363008 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 628363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188536944).

628363008 is an abundant number, since it is smaller than the sum of its proper divisors (1748710880).

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

628363008 is an equidigital number, since it uses as much as digits as its factorization.

628363008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 628363008 is about 25067.1699240261. The cubic root of 628363008 is about 856.5187410979.

The spelling of 628363008 in words is "six hundred twenty-eight million, three hundred sixty-three thousand, eight".