13528674288 has 120 divisors (see below), whose sum is σ = 39365813760. Its totient is φ = 4332493440.

The previous prime is 13528674283. The next prime is 13528674361. The reversal of 13528674288 is 88247682531.

13528674288 is a `hidden beast` number, since 1 + 352 + 8 + 6 + 7 + 4 + 288 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13528674281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609595 + ... + 631397.

It is an arithmetic number, because the mean of its divisors is an integer number (328048448).

Almost surely, 2^13528674288 is an apocalyptic number.

13528674288 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 13528674288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682906880).

13528674288 is an abundant number, since it is smaller than the sum of its proper divisors (25837139472).

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

13528674288 is a wasteful number, since it uses less digits than its factorization.

13528674288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21987 (or 21978 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 13528674288 in words is "thirteen billion, five hundred twenty-eight million, six hundred seventy-four thousand, two hundred eighty-eight".