13728080 has 40 divisors (see below), whose sum is σ = 32150472. Its totient is φ = 5451264.

The previous prime is 13728041. The next prime is 13728101. The reversal of 13728080 is 8082731.

It can be written as a sum of positive squares in 4 ways, for example, as 3717184 + 10010896 = 1928^2 + 3164^2 .

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12014 + ... + 13106.

Almost surely, 2^13728080 is an apocalyptic number.

13728080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075236).

13728080 is an abundant number, since it is smaller than the sum of its proper divisors (18422392).

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

13728080 is a wasteful number, since it uses less digits than its factorization.

13728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 13728080 is about 3705.1423724332. The cubic root of 13728080 is about 239.4436185696.

The spelling of 13728080 in words is "thirteen million, seven hundred twenty-eight thousand, eighty".