628163712 has 192 divisors, whose sum is σ = 2076516000. Its totient is φ = 180264960.

The previous prime is 628163699. The next prime is 628163749. The reversal of 628163712 is 217361826.

628163712 is a `hidden beast` number, since 6 + 2 + 8 + 1 + 637 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239464 + ... + 242072.

Almost surely, 2^628163712 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 628163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038258000).

628163712 is an abundant number, since it is smaller than the sum of its proper divisors (1448352288).

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

628163712 is a wasteful number, since it uses less digits than its factorization.

628163712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2644 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 628163712 is about 25063.1943694334. The cubic root of 628163712 is about 856.4281783675.

The spelling of 628163712 in words is "six hundred twenty-eight million, one hundred sixty-three thousand, seven hundred twelve".