13728384 has 96 divisors (see below), whose sum is σ = 41888340. Its totient is φ = 4300800.

The previous prime is 13728353. The next prime is 13728391. The reversal of 13728384 is 48382731.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 1617984 = 3480^2 + 1272^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19234 + ... + 19934.

Almost surely, 2^13728384 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 13728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20944170).

13728384 is an abundant number, since it is smaller than the sum of its proper divisors (28159956).

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

13728384 is a wasteful number, since it uses less digits than its factorization.

13728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 723 counting only the distinct ones).

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

The square root of 13728384 is about 3705.1833962707. The cubic root of 13728384 is about 239.4453860011.

The spelling of 13728384 in words is "thirteen million, seven hundred twenty-eight thousand, three hundred eighty-four".