628912128 has 208 divisors, whose sum is σ = 1878818816. Its totient is φ = 185794560.

The previous prime is 628912111. The next prime is 628912133. The reversal of 628912128 is 821219826.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 4952001 + ... + 4952127.

Almost surely, 2^628912128 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 628912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939409408).

628912128 is an abundant number, since it is smaller than the sum of its proper divisors (1249906688).

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

628912128 is a wasteful number, since it uses less digits than its factorization.

628912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 628912128 is about 25078.1205037379. The cubic root of 628912128 is about 856.7681694409.

The spelling of 628912128 in words is "six hundred twenty-eight million, nine hundred twelve thousand, one hundred twenty-eight".