13832382528 has 448 divisors, whose sum is σ = 44632473600. Its totient is φ = 4187842560.

The previous prime is 13832382511. The next prime is 13832382593. The reversal of 13832382528 is 82528323831.

13832382528 is a `hidden beast` number, since 13 + 8 + 32 + 3 + 82 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126902538 + ... + 126902646.

Almost surely, 2^13832382528 is an apocalyptic number.

13832382528 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 13832382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22316236800).

13832382528 is an abundant number, since it is smaller than the sum of its proper divisors (30800091072).

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

13832382528 is a wasteful number, since it uses less digits than its factorization.

13832382528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 13832382528 in words is "thirteen billion, eight hundred thirty-two million, three hundred eighty-two thousand, five hundred twenty-eight".