13667728 has 40 divisors (see below), whose sum is σ = 28357560. Its totient is φ = 6359040.

The previous prime is 13667701. The next prime is 13667747. The reversal of 13667728 is 82776631.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 9935104 = 1932^2 + 3152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29418 + ... + 29878.

It is an arithmetic number, because the mean of its divisors is an integer number (708939).

Almost surely, 2^13667728 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 13667728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178780).

13667728 is an abundant number, since it is smaller than the sum of its proper divisors (14689832).

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

13667728 is a wasteful number, since it uses less digits than its factorization.

13667728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 13667728 is about 3696.9890451555. The cubic root of 13667728 is about 239.0922188665.

The spelling of 13667728 in words is "thirteen million, six hundred sixty-seven thousand, seven hundred twenty-eight".