13728 has 48 divisors (see below), whose sum is σ = 42336. Its totient is φ = 3840.

The previous prime is 13723. The next prime is 13729. The reversal of 13728 is 82731.

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

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (13721) 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, 1050 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (882).

2^{13728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168).

13728 is an abundant number, since it is smaller than the sum of its proper divisors (28608).

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

13728 is a wasteful number, since it uses less digits than its factorization.

13728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 29 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 13728 is about 117.1665481270. The cubic root of 13728 is about 23.9443153452.

It can be divided in two parts, 13 and 728, that added together give a triangular number (741 = T_{38}).

The spelling of 13728 in words is "thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728

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