628705152 has 384 divisors, whose sum is σ = 2105157600. Its totient is φ = 185794560.

The previous prime is 628705151. The next prime is 628705171. The reversal of 628705152 is 251507826.

It is a happy number.

628705152 is a `hidden beast` number, since 62 + 87 + 0 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628705151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15334252 + ... + 15334292.

Almost surely, 2^628705152 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 628705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052578800).

628705152 is an abundant number, since it is smaller than the sum of its proper divisors (1476452448).

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

628705152 is a wasteful number, since it uses less digits than its factorization.

628705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 628705152 is about 25073.9935391234. The cubic root of 628705152 is about 856.6741711977.

The spelling of 628705152 in words is "six hundred twenty-eight million, seven hundred five thousand, one hundred fifty-two".