13728980 has 12 divisors (see below), whose sum is σ = 28830900. Its totient is φ = 5491584.

The previous prime is 13728971. The next prime is 13728989. The reversal of 13728980 is 8982731.

It is an interprime number because it is at equal distance from previous prime (13728971) and next prime (13728989).

It can be written as a sum of positive squares in 2 ways, for example, as 7246864 + 6482116 = 2692^2 + 2546^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 343205 + ... + 343244.

It is an arithmetic number, because the mean of its divisors is an integer number (2402575).

Almost surely, 2^13728980 is an apocalyptic number.

13728980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728980 is an abundant number, since it is smaller than the sum of its proper divisors (15101920).

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

13728980 is a wasteful number, since it uses less digits than its factorization.

13728980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686458 (or 686456 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 13728980 is about 3705.2638232655. The cubic root of 13728980 is about 239.4488510213.

The spelling of 13728980 in words is "thirteen million, seven hundred twenty-eight thousand, nine hundred eighty".