13847328 has 192 divisors, whose sum is σ = 46448640. Its totient is φ = 3974400.

The previous prime is 13847303. The next prime is 13847329. The reversal of 13847328 is 82374831.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 13847292 and 13847301.

It is not an unprimeable number, because it can be changed into a prime (13847329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294601 + ... + 294647.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^13847328 is an apocalyptic number.

13847328 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 13847328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

13847328 is an abundant number, since it is smaller than the sum of its proper divisors (32601312).

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

13847328 is a wasteful number, since it uses less digits than its factorization.

13847328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13847328 is about 3721.1998065140. The cubic root of 13847328 is about 240.1349241336.

The spelling of 13847328 in words is "thirteen million, eight hundred forty-seven thousand, three hundred twenty-eight".