13728568 has 32 divisors (see below), whose sum is σ = 29865600. Its totient is φ = 5794272.

The previous prime is 13728529. The next prime is 13728577. The reversal of 13728568 is 86582731.

It is a self number, because there is not a number n which added to its sum of digits gives 13728568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1923 + ... + 5581.

It is an arithmetic number, because the mean of its divisors is an integer number (933300).

Almost surely, 2^13728568 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 13728568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932800).

13728568 is an abundant number, since it is smaller than the sum of its proper divisors (16137032).

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

13728568 is a wasteful number, since it uses less digits than its factorization.

13728568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3735 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 13728568 is about 3705.2082262675. The cubic root of 13728568 is about 239.4464557495.

The spelling of 13728568 in words is "thirteen million, seven hundred twenty-eight thousand, five hundred sixty-eight".