13325328 has 120 divisors (see below), whose sum is σ = 39877656. Its totient is φ = 4147200.

The previous prime is 13325311. The next prime is 13325329. The reversal of 13325328 is 82352331.

13325328 is a `hidden beast` number, since 1 + 332 + 5 + 328 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 13307904 = 132^2 + 3648^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (4320) is a multiple of the sum of its prime divisors (144).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13325329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218418 + ... + 218478.

Almost surely, 2^13325328 is an apocalyptic number.

13325328 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 13325328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19938828).

13325328 is an abundant number, since it is smaller than the sum of its proper divisors (26552328).

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

13325328 is a wasteful number, since it uses less digits than its factorization.

13325328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

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

The square root of 13325328 is about 3650.3873767040. The cubic root of 13325328 is about 237.0787539376.

Adding to 13325328 its reverse (82352331), we get a palindrome (95677659).

It can be divided in two parts, 1332 and 5328, that multiplied together give a square (7096896 = 2664²).

The spelling of 13325328 in words is "thirteen million, three hundred twenty-five thousand, three hundred twenty-eight".