8128932000 has 768 divisors, whose sum is σ = 32606945280. Its totient is φ = 1731072000.

The previous prime is 8128931959. The next prime is 8128932011. The reversal of 8128932000 is 2398218.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114491965 + ... + 114492035.

It is an arithmetic number, because the mean of its divisors is an integer number (42456960).

Almost surely, 2^8128932000 is an apocalyptic number.

8128932000 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 8128932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303472640).

8128932000 is an abundant number, since it is smaller than the sum of its proper divisors (24478013280).

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

8128932000 is a wasteful number, since it uses less digits than its factorization.

8128932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8128932000 is about 90160.5900601810. The cubic root of 8128932000 is about 2010.6871243016.

The spelling of 8128932000 in words is "eight billion, one hundred twenty-eight million, nine hundred thirty-two thousand".