13712328 has 80 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 3916512.

The previous prime is 13712299. The next prime is 13712339. The reversal of 13712328 is 82321731.

13712328 is digitally balanced in base 2 and base 8, 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 nude number because it is divisible by every one of its digits.

13712328 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3025 + ... + 6047.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 2^13712328 is an apocalyptic number.

13712328 is a gapful number since it is divisible by the number (18) 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 13712328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

13712328 is an abundant number, since it is smaller than the sum of its proper divisors (30196152).

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

13712328 is a wasteful number, since it uses less digits than its factorization.

13712328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3035 counting only the distinct ones).

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

The square root of 13712328 is about 3703.0160680181. The cubic root of 13712328 is about 239.3520019853.

The spelling of 13712328 in words is "thirteen million, seven hundred twelve thousand, three hundred twenty-eight".