13685328 has 80 divisors (see below), whose sum is σ = 39878400. Its totient is φ = 4492800.

The previous prime is 13685327. The next prime is 13685359. The reversal of 13685328 is 82358631.

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 = 13685292 and 13685301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13685327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33928 + ... + 34328.

It is an arithmetic number, because the mean of its divisors is an integer number (498480).

Almost surely, 2^13685328 is an apocalyptic number.

13685328 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 13685328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19939200).

13685328 is an abundant number, since it is smaller than the sum of its proper divisors (26193072).

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

13685328 is a wasteful number, since it uses less digits than its factorization.

13685328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

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

The square root of 13685328 is about 3699.3685947740. The cubic root of 13685328 is about 239.1948015857.

The spelling of 13685328 in words is "thirteen million, six hundred eighty-five thousand, three hundred twenty-eight".