13717728 has 48 divisors (see below), whose sum is σ = 40012560. Its totient is φ = 4572288.

The previous prime is 13717727. The next prime is 13717747. The reversal of 13717728 is 82771731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13717728² = 376352122963968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13717692 and 13717701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13717727) 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, 7075 + ... + 8802.

It is an arithmetic number, because the mean of its divisors is an integer number (833595).

Almost surely, 2^13717728 is an apocalyptic number.

13717728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13717728 is an abundant number, since it is smaller than the sum of its proper divisors (26294832).

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

13717728 is a wasteful number, since it uses less digits than its factorization.

13717728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15896 (or 15882 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 13717728 is about 3703.7451316202. The cubic root of 13717728 is about 239.3834172972.

The spelling of 13717728 in words is "thirteen million, seven hundred seventeen thousand, seven hundred twenty-eight".