13728312 has 64 divisors (see below), whose sum is σ = 41076000. Its totient is φ = 4223232.

The previous prime is 13728301. The next prime is 13728329. The reversal of 13728312 is 21382731.

13728312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 5252.

Almost surely, 2^13728312 is an apocalyptic number.

13728312 is a gapful number since it is divisible by the number (12) 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 13728312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20538000).

13728312 is an abundant number, since it is smaller than the sum of its proper divisors (27347688).

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

13728312 is a wasteful number, since it uses less digits than its factorization.

13728312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4907 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13728312 is about 3705.1736801397. The cubic root of 13728312 is about 239.4449674012. Note that the first 3 decimals are identical.

The spelling of 13728312 in words is "thirteen million, seven hundred twenty-eight thousand, three hundred twelve".