12628880 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 4515840.

The previous prime is 12628879. The next prime is 12628907. The reversal of 12628880 is 8882621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12628880² = 318977220108800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12628880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99377 + ... + 99503.

Almost surely, 2^12628880 is an apocalyptic number.

12628880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

12628880 is an abundant number, since it is smaller than the sum of its proper divisors (19940464).

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

12628880 is a wasteful number, since it uses less digits than its factorization.

12628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 12628880 is about 3553.7135506397. The cubic root of 12628880 is about 232.8743266722.

The spelling of 12628880 in words is "twelve million, six hundred twenty-eight thousand, eight hundred eighty".