13728880 has 40 divisors (see below), whose sum is σ = 34823664. Its totient is φ = 4992000.

The previous prime is 13728823. The next prime is 13728881. The reversal of 13728880 is 8882731.

13728880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6921 + ... + 8680.

Almost surely, 2^13728880 is an apocalyptic number.

13728880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728880 is an abundant number, since it is smaller than the sum of its proper divisors (21094784).

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

13728880 is a wasteful number, since it uses less digits than its factorization.

13728880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15625 (or 15619 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 13728880 is about 3705.2503289252. The cubic root of 13728880 is about 239.4482696491.

The spelling of 13728880 in words is "thirteen million, seven hundred twenty-eight thousand, eight hundred eighty".