13728240 has 120 divisors (see below), whose sum is σ = 48166560. Its totient is φ = 3497472.

The previous prime is 13728229. The next prime is 13728251. The reversal of 13728240 is 4282731.

It is an interprime number because it is at equal distance from previous prime (13728229) and next prime (13728251).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16146 + ... + 16974.

It is an arithmetic number, because the mean of its divisors is an integer number (401388).

Almost surely, 2^13728240 is an apocalyptic number.

13728240 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 13728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24083280).

13728240 is an abundant number, since it is smaller than the sum of its proper divisors (34438320).

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

13728240 is a wasteful number, since it uses less digits than its factorization.

13728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13728240 is about 3705.1639639832. The cubic root of 13728240 is about 239.4445487999. Note that the first 3 decimals are identical.

The spelling of 13728240 in words is "thirteen million, seven hundred twenty-eight thousand, two hundred forty".