628729120 has 24 divisors (see below), whose sum is σ = 1485372924. Its totient is φ = 251491584.

The previous prime is 628729091. The next prime is 628729151. The reversal of 628729120 is 21927826.

It can be written as a sum of positive squares in 2 ways, for example, as 539539984 + 89189136 = 23228^2 + 9444^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 628729120.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1964619 + ... + 1964938.

Almost surely, 2^628729120 is an apocalyptic number.

It is an amenable number.

628729120 is an abundant number, since it is smaller than the sum of its proper divisors (856643804).

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

628729120 is a wasteful number, since it uses less digits than its factorization.

628729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929572 (or 3929564 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 628729120 is about 25074.4714799734. The cubic root of 628729120 is about 856.6850573317.

It can be divided in two parts, 628729 and 120, that added together give a square (628849 = 793²).

The spelling of 628729120 in words is "six hundred twenty-eight million, seven hundred twenty-nine thousand, one hundred twenty".