628401312 has 288 divisors, whose sum is σ = 2283240960. Its totient is φ = 159183360.

The previous prime is 628401299. The next prime is 628401343. The reversal of 628401312 is 213104826.

628401312 is a `hidden beast` number, since 628 + 4 + 0 + 1 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953239 + ... + 953897.

It is an arithmetic number, because the mean of its divisors is an integer number (7927920).

Almost surely, 2^628401312 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 628401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141620480).

628401312 is an abundant number, since it is smaller than the sum of its proper divisors (1654839648).

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

628401312 is a wasteful number, since it uses less digits than its factorization.

628401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 628401312 is about 25067.9339395970. The cubic root of 628401312 is about 856.5361447466.

The spelling of 628401312 in words is "six hundred twenty-eight million, four hundred one thousand, three hundred twelve".