9683928000 has 448 divisors, whose sum is σ = 35946892800. Its totient is φ = 2552140800.

The previous prime is 9683927989. The next prime is 9683928029. The reversal of 9683928000 is 8293869.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23111791 + ... + 23112209.

It is an arithmetic number, because the mean of its divisors is an integer number (80238600).

Almost surely, 2^9683928000 is an apocalyptic number.

9683928000 is a gapful number since it is divisible by the number (90) 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 9683928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17973446400).

9683928000 is an abundant number, since it is smaller than the sum of its proper divisors (26262964800).

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

9683928000 is a wasteful number, since it uses less digits than its factorization.

9683928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9683928000 is about 98406.9509740039. The cubic root of 9683928000 is about 2131.4927049072.

The spelling of 9683928000 in words is "nine billion, six hundred eighty-three million, nine hundred twenty-eight thousand".