628656084 has 108 divisors (see below), whose sum is σ = 1912446900. Its totient is φ = 173408256.

The previous prime is 628656047. The next prime is 628656089. The reversal of 628656084 is 480656826.

628656084 is a `hidden beast` number, since 6 + 2 + 8 + 6 + 560 + 84 = 666.

628656084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 423536400 + 205119684 = 20580^2 + 14322^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628656089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45012 + ... + 57300.

Almost surely, 2^628656084 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 628656084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956223450).

628656084 is an abundant number, since it is smaller than the sum of its proper divisors (1283790816).

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

628656084 is a wasteful number, since it uses less digits than its factorization.

628656084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 628656084 is about 25073.0150560319. The cubic root of 628656084 is about 856.6518839184.

The spelling of 628656084 in words is "six hundred twenty-eight million, six hundred fifty-six thousand, eighty-four".