13528784 has 40 divisors (see below), whose sum is σ = 27706560. Its totient is φ = 6386688.

The previous prime is 13528783. The next prime is 13528813. The reversal of 13528784 is 48782531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13528783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35507 + ... + 35885.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 2^13528784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13528784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853280).

13528784 is an abundant number, since it is smaller than the sum of its proper divisors (14177776).

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

13528784 is a wasteful number, since it uses less digits than its factorization.

13528784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 13528784 is about 3678.1495347525. The cubic root of 13528784 is about 238.2792663746.

The spelling of 13528784 in words is "thirteen million, five hundred twenty-eight thousand, seven hundred eighty-four".