8347928000 has 224 divisors, whose sum is σ = 21887663616. Its totient is φ = 3148800000.

The previous prime is 8347927999. The next prime is 8347928051. The reversal of 8347928000 is 8297438.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10167590 + ... + 10168410.

It is an arithmetic number, because the mean of its divisors is an integer number (97712784).

Almost surely, 2^8347928000 is an apocalyptic number.

8347928000 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 8347928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10943831808).

8347928000 is an abundant number, since it is smaller than the sum of its proper divisors (13539735616).

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

8347928000 is a wasteful number, since it uses less digits than its factorization.

8347928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 8347928000 is about 91366.9962294920. The cubic root of 8347928000 is about 2028.5835443869.

The spelling of 8347928000 in words is "eight billion, three hundred forty-seven million, nine hundred twenty-eight thousand".