13523328 has 256 divisors, whose sum is σ = 50265600. Its totient is φ = 3483648.

The previous prime is 13523311. The next prime is 13523329. The reversal of 13523328 is 82332531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523329) 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, 314475 + ... + 314517.

It is an arithmetic number, because the mean of its divisors is an integer number (196350).

Almost surely, 2^13523328 is an apocalyptic number.

13523328 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 13523328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25132800).

13523328 is an abundant number, since it is smaller than the sum of its proper divisors (36742272).

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

13523328 is a wasteful number, since it uses less digits than its factorization.

13523328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13523328 is about 3677.4077826643. The cubic root of 13523328 is about 238.2472303226.

Adding to 13523328 its reverse (82332531), we get a palindrome (95855859).

The spelling of 13523328 in words is "thirteen million, five hundred twenty-three thousand, three hundred twenty-eight".