13528704 has 96 divisors (see below), whose sum is σ = 41860800. Its totient is φ = 3859968.

The previous prime is 13528693. The next prime is 13528733. The reversal of 13528704 is 40782531.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18457 + ... + 19175.

It is an arithmetic number, because the mean of its divisors is an integer number (436050).

Almost surely, 2^13528704 is an apocalyptic number.

13528704 is a gapful number since it is divisible by the number (14) 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 13528704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930400).

13528704 is an abundant number, since it is smaller than the sum of its proper divisors (28332096).

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

13528704 is an equidigital number, since it uses as much as digits as its factorization.

13528704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13528704 is about 3678.1386597028. The cubic root of 13528704 is about 238.2787967000.

The spelling of 13528704 in words is "thirteen million, five hundred twenty-eight thousand, seven hundred four".