12728664 has 80 divisors (see below), whose sum is σ = 38419920. Its totient is φ = 3913920.

The previous prime is 12728663. The next prime is 12728707. The reversal of 12728664 is 46682721.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7669 + ... + 9179.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 2^12728664 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 12728664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209960).

12728664 is an abundant number, since it is smaller than the sum of its proper divisors (25691256).

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

12728664 is a wasteful number, since it uses less digits than its factorization.

12728664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1529 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12728664 is about 3567.7253257503. The cubic root of 12728664 is about 233.4860514971.

The spelling of 12728664 in words is "twelve million, seven hundred twenty-eight thousand, six hundred sixty-four".