13728816 has 30 divisors (see below), whose sum is σ = 38422020. Its totient is φ = 4576224.

The previous prime is 13728797. The next prime is 13728821. The reversal of 13728816 is 61882731.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47526 + ... + 47813.

It is an arithmetic number, because the mean of its divisors is an integer number (1280734).

Almost surely, 2^13728816 is an apocalyptic number.

13728816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13728816 is an abundant number, since it is smaller than the sum of its proper divisors (24693204).

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

13728816 is a wasteful number, since it uses less digits than its factorization.

13728816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95353 (or 95344 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13728816 is about 3705.2416925216. The cubic root of 13728816 is about 239.4478975693.

The spelling of 13728816 in words is "thirteen million, seven hundred twenty-eight thousand, eight hundred sixteen".