12728880 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3306240.

The previous prime is 12728857. The next prime is 12728893. The reversal of 12728880 is 8882721.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153319 + ... + 153401.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^12728880 is an apocalyptic number.

12728880 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 12728880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

12728880 is an abundant number, since it is smaller than the sum of its proper divisors (32268240).

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

12728880 is a wasteful number, since it uses less digits than its factorization.

12728880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 12728880 is about 3567.7555970105. The cubic root of 12728880 is about 233.4873722092.

The spelling of 12728880 in words is "twelve million, seven hundred twenty-eight thousand, eight hundred eighty".