8732852352 has 384 divisors, whose sum is σ = 31365734400. Its totient is φ = 2362659840.

The previous prime is 8732852341. The next prime is 8732852357. The reversal of 8732852352 is 2532582378.

8732852352 is a `hidden beast` number, since 8 + 73 + 2 + 8 + 523 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 8732852298 and 8732852307.

It is not an unprimeable number, because it can be changed into a prime (8732852357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4135777 + ... + 4137887.

It is an arithmetic number, because the mean of its divisors is an integer number (81681600).

Almost surely, 2^8732852352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8732852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682867200).

8732852352 is an abundant number, since it is smaller than the sum of its proper divisors (22632882048).

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

8732852352 is a wasteful number, since it uses less digits than its factorization.

8732852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2142 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 8732852352 is about 93449.7316850081. The cubic root of 8732852352 is about 2059.2956677153.

The spelling of 8732852352 in words is "eight billion, seven hundred thirty-two million, eight hundred fifty-two thousand, three hundred fifty-two".