12880728 has 96 divisors (see below), whose sum is σ = 41655600. Its totient is φ = 3677184.

The previous prime is 12880723. The next prime is 12880729. The reversal of 12880728 is 82708821.

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 = 12880692 and 12880701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12880723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9976 + ... + 11192.

Almost surely, 2^12880728 is an apocalyptic number.

12880728 is a gapful number since it is divisible by the number (18) 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 12880728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827800).

12880728 is an abundant number, since it is smaller than the sum of its proper divisors (28774872).

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

12880728 is a wasteful number, since it uses less digits than its factorization.

12880728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1229 counting only the distinct ones).

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

The square root of 12880728 is about 3588.9731121868. The cubic root of 12880728 is about 234.4121598680.

The spelling of 12880728 in words is "twelve million, eight hundred eighty thousand, seven hundred twenty-eight".