13728280 has 32 divisors (see below), whose sum is σ = 30997440. Its totient is φ = 5472000.

The previous prime is 13728271. The next prime is 13728289. The reversal of 13728280 is 8282731.

It is an interprime number because it is at equal distance from previous prime (13728271) and next prime (13728289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728289) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17905 + ... + 18655.

It is an arithmetic number, because the mean of its divisors is an integer number (968670).

Almost surely, 2^13728280 is an apocalyptic number.

13728280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728280 is an abundant number, since it is smaller than the sum of its proper divisors (17269160).

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

13728280 is a wasteful number, since it uses less digits than its factorization.

13728280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 13728280 is about 3705.1693618511. The cubic root of 13728280 is about 239.4447813564. Note that the first 3 decimals are identical.

The spelling of 13728280 in words is "thirteen million, seven hundred twenty-eight thousand, two hundred eighty".