13865328 has 60 divisors (see below), whose sum is σ = 39365040. Its totient is φ = 4555008.

The previous prime is 13865323. The next prime is 13865351. The reversal of 13865328 is 82356831.

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

It is a junction number, because it is equal to n+sod(n) for n = 13865292 and 13865301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13865323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9853 + ... + 11171.

It is an arithmetic number, because the mean of its divisors is an integer number (656084).

Almost surely, 2^13865328 is an apocalyptic number.

13865328 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 13865328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682520).

13865328 is an abundant number, since it is smaller than the sum of its proper divisors (25499712).

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

13865328 is a wasteful number, since it uses less digits than its factorization.

13865328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1397 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13865328 is about 3723.6175958334. The cubic root of 13865328 is about 240.2389287255.

The spelling of 13865328 in words is "thirteen million, eight hundred sixty-five thousand, three hundred twenty-eight".