13290285528 has 192 divisors, whose sum is σ = 42121497600. Its totient is φ = 3748965120.

The previous prime is 13290285521. The next prime is 13290285553. The reversal of 13290285528 is 82558209231.

13290285528 is a `hidden beast` number, since 1 + 3 + 2 + 90 + 2 + 8 + 552 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13290285521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539251 + ... + 563357.

It is an arithmetic number, because the mean of its divisors is an integer number (219382800).

Almost surely, 2^13290285528 is an apocalyptic number.

13290285528 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 13290285528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060748800).

13290285528 is an abundant number, since it is smaller than the sum of its proper divisors (28831212072).

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

13290285528 is a wasteful number, since it uses less digits than its factorization.

13290285528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24182 (or 24175 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13290285528 in words is "thirteen billion, two hundred ninety million, two hundred eighty-five thousand, five hundred twenty-eight".