12607728 has 80 divisors (see below), whose sum is σ = 37616640. Its totient is φ = 3564288.

The previous prime is 12607723. The next prime is 12607741. The reversal of 12607728 is 82770621.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12607723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52633 + ... + 52871.

It is an arithmetic number, because the mean of its divisors is an integer number (470208).

Almost surely, 2^12607728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12607728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808320).

12607728 is an abundant number, since it is smaller than the sum of its proper divisors (25008912).

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

12607728 is a wasteful number, since it uses less digits than its factorization.

12607728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 12607728 is about 3550.7362616787. The cubic root of 12607728 is about 232.7442409651.

The spelling of 12607728 in words is "twelve million, six hundred seven thousand, seven hundred twenty-eight".