8932821120 has 384 divisors, whose sum is σ = 33529766400. Its totient is φ = 2183086080.

The previous prime is 8932821113. The next prime is 8932821197. The reversal of 8932821120 is 211282398.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3391324 + ... + 3393956.

It is an arithmetic number, because the mean of its divisors is an integer number (87317100).

Almost surely, 2^8932821120 is an apocalyptic number.

8932821120 is a gapful number since it is divisible by the number (80) 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 8932821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764883200).

8932821120 is an abundant number, since it is smaller than the sum of its proper divisors (24596945280).

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

8932821120 is a wasteful number, since it uses less digits than its factorization.

8932821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8932821120 is about 94513.6028304921. The cubic root of 8932821120 is about 2074.8954218355.

The spelling of 8932821120 in words is "eight billion, nine hundred thirty-two million, eight hundred twenty-one thousand, one hundred twenty".