13728728 has 32 divisors (see below), whose sum is σ = 28017360. Its totient is φ = 6268800.

The previous prime is 13728713. The next prime is 13728731. The reversal of 13728728 is 82782731.

It is a junction number, because it is equal to n+sod(n) for n = 13728691 and 13728700.

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, 9851 + ... + 11157.

Almost surely, 2^13728728 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 13728728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008680).

13728728 is an abundant number, since it is smaller than the sum of its proper divisors (14288632).

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

13728728 is a wasteful number, since it uses less digits than its factorization.

13728728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1423 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 13728728 is about 3705.2298174337. The cubic root of 13728728 is about 239.4473859579.

The spelling of 13728728 in words is "thirteen million, seven hundred twenty-eight thousand, seven hundred twenty-eight".