13817328 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3563520.

The previous prime is 13817327. The next prime is 13817329. The reversal of 13817328 is 82371831.

It is an interprime number because it is at equal distance from previous prime (13817327) and next prime (13817329).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13817327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 234163 + ... + 234221.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^13817328 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 13817328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13817328 is an abundant number, since it is smaller than the sum of its proper divisors (31179792).

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

13817328 is a wasteful number, since it uses less digits than its factorization.

13817328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 13817328 is about 3717.1666629302. The cubic root of 13817328 is about 239.9613826755.

The spelling of 13817328 in words is "thirteen million, eight hundred seventeen thousand, three hundred twenty-eight".