13528736 has 48 divisors (see below), whose sum is σ = 30386664. Its totient is φ = 5873664.

The previous prime is 13528733. The next prime is 13528747. The reversal of 13528736 is 63782531.

13528736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12816400 + 712336 = 3580^2 + 844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13528696 and 13528705.

It is not an unprimeable number, because it can be changed into a prime (13528733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6116 + ... + 8028.

Almost surely, 2^13528736 is an apocalyptic number.

13528736 is a gapful number since it is divisible by the number (16) 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 13528736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15193332).

13528736 is an abundant number, since it is smaller than the sum of its proper divisors (16857928).

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

13528736 is a wasteful number, since it uses less digits than its factorization.

13528736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1945 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 13528736 is about 3678.1430097265. The cubic root of 13528736 is about 238.2789845701.

The spelling of 13528736 in words is "thirteen million, five hundred twenty-eight thousand, seven hundred thirty-six".