13296528 has 80 divisors (see below), whose sum is σ = 43628160. Its totient is φ = 3798144.

The previous prime is 13296527. The next prime is 13296539. The reversal of 13296528 is 82569231.

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 = 13296492 and 13296501.

It is not an unprimeable number, because it can be changed into a prime (13296527) 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 15 ways as a sum of consecutive naturals, for example, 826 + ... + 5222.

It is an arithmetic number, because the mean of its divisors is an integer number (545352).

Almost surely, 2^13296528 is an apocalyptic number.

13296528 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 13296528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21814080).

13296528 is an abundant number, since it is smaller than the sum of its proper divisors (30331632).

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

13296528 is a wasteful number, since it uses less digits than its factorization.

13296528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4409 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13296528 is about 3646.4404561161. The cubic root of 13296528 is about 236.9078314896.

It can be divided in two parts, 13296 and 528, that added together give a cube (13824 = 24³).

The spelling of 13296528 in words is "thirteen million, two hundred ninety-six thousand, five hundred twenty-eight".