628641216 has 112 divisors (see below), whose sum is σ = 2112142080. Its totient is φ = 179608320.

The previous prime is 628641197. The next prime is 628641227. The reversal of 628641216 is 612146826.

628641216 is a `hidden beast` number, since 6 + 2 + 8 + 641 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13890 + ... + 38081.

Almost surely, 2^628641216 is an apocalyptic number.

It is an amenable number.

628641216 is an abundant number, since it is smaller than the sum of its proper divisors (1483500864).

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

628641216 is a wasteful number, since it uses less digits than its factorization.

628641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51999 (or 51983 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 628641216 is about 25072.7185602200. The cubic root of 628641216 is about 856.6451304640.

The spelling of 628641216 in words is "six hundred twenty-eight million, six hundred forty-one thousand, two hundred sixteen".