12805728 has 96 divisors (see below), whose sum is σ = 37481472. Its totient is φ = 3801600.

The previous prime is 12805721. The next prime is 12805729. The reversal of 12805728 is 82750821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805721) 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, 38523 + ... + 38853.

It is an arithmetic number, because the mean of its divisors is an integer number (390432).

Almost surely, 2^12805728 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 12805728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740736).

12805728 is an abundant number, since it is smaller than the sum of its proper divisors (24675744).

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

12805728 is a wasteful number, since it uses less digits than its factorization.

12805728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 12805728 is about 3578.5091867983. The cubic root of 12805728 is about 233.9563071318.

The spelling of 12805728 in words is "twelve million, eight hundred five thousand, seven hundred twenty-eight".