629080128 has 112 divisors (see below), whose sum is σ = 1875088960. Its totient is φ = 206779392.

The previous prime is 629080103. The next prime is 629080163. The reversal of 629080128 is 821080926.

629080128 is a `hidden beast` number, since 629 + 0 + 8 + 0 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 629080092 and 629080101.

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, 123651 + ... + 128637.

Almost surely, 2^629080128 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 629080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937544480).

629080128 is an abundant number, since it is smaller than the sum of its proper divisors (1246008832).

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

629080128 is a wasteful number, since it uses less digits than its factorization.

629080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 629080128 is about 25081.4698133901. The cubic root of 629080128 is about 856.8444515537.

The spelling of 629080128 in words is "six hundred twenty-nine million, eighty thousand, one hundred twenty-eight".