13287528 has 48 divisors (see below), whose sum is σ = 36223200. Its totient is φ = 4400160.

The previous prime is 13287503. The next prime is 13287541. The reversal of 13287528 is 82578231.

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 = 13287492 and 13287501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12373 + ... + 13403.

It is an arithmetic number, because the mean of its divisors is an integer number (754650).

Almost surely, 2^13287528 is an apocalyptic number.

13287528 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 13287528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111600).

13287528 is an abundant number, since it is smaller than the sum of its proper divisors (22935672).

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

13287528 is a wasteful number, since it uses less digits than its factorization.

13287528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1215 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13287528 is about 3645.2061670089. The cubic root of 13287528 is about 236.8543676146.

The spelling of 13287528 in words is "thirteen million, two hundred eighty-seven thousand, five hundred twenty-eight".