12907728 has 40 divisors (see below), whose sum is σ = 37051200. Its totient is φ = 4302432.

The previous prime is 12907723. The next prime is 12907733. The reversal of 12907728 is 82770921.

It is an interprime number because it is at equal distance from previous prime (12907723) and next prime (12907733).

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 = 12907692 and 12907701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12907723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14508 + ... + 15371.

It is an arithmetic number, because the mean of its divisors is an integer number (926280).

Almost surely, 2^12907728 is an apocalyptic number.

12907728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12907728 is an abundant number, since it is smaller than the sum of its proper divisors (24143472).

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

12907728 is a wasteful number, since it uses less digits than its factorization.

12907728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29896 (or 29884 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12907728 is about 3592.7326646997. The cubic root of 12907728 is about 234.5758336185.

The spelling of 12907728 in words is "twelve million, nine hundred seven thousand, seven hundred twenty-eight".