628875072 has 168 divisors, whose sum is σ = 2168753600. Its totient is φ = 170201088.

The previous prime is 628875031. The next prime is 628875089. The reversal of 628875072 is 270578826.

628875072 is a `hidden beast` number, since 62 + 8 + 87 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72504 + ... + 80712.

Almost surely, 2^628875072 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 628875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084376800).

628875072 is an abundant number, since it is smaller than the sum of its proper divisors (1539878528).

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

628875072 is a wasteful number, since it uses less digits than its factorization.

628875072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 628875072 is about 25077.3816815073. The cubic root of 628875072 is about 856.7513419576.

The spelling of 628875072 in words is "six hundred twenty-eight million, eight hundred seventy-five thousand, seventy-two".