13528302768 has 60 divisors (see below), whose sum is σ = 38379124680. Its totient is φ = 4447657728.

The previous prime is 13528302761. The next prime is 13528302773. The reversal of 13528302768 is 86720382531.

13528302768 is a `hidden beast` number, since 13 + 528 + 30 + 27 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (13528302761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 632958 + ... + 653981.

It is an arithmetic number, because the mean of its divisors is an integer number (639652078).

Almost surely, 2^13528302768 is an apocalyptic number.

13528302768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13528302768 is an abundant number, since it is smaller than the sum of its proper divisors (24850821912).

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

13528302768 is a wasteful number, since it uses less digits than its factorization.

13528302768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287026 (or 1287017 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13528302768 in words is "thirteen billion, five hundred twenty-eight million, three hundred two thousand, seven hundred sixty-eight".