9891797328 has 320 divisors, whose sum is σ = 34497792000. Its totient is φ = 2650807296.

The previous prime is 9891797297. The next prime is 9891797339. The reversal of 9891797328 is 8237971989.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6146988 + ... + 6148596.

It is an arithmetic number, because the mean of its divisors is an integer number (107805600).

Almost surely, 2^9891797328 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 9891797328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896000).

9891797328 is an abundant number, since it is smaller than the sum of its proper divisors (24605994672).

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

9891797328 is a wasteful number, since it uses less digits than its factorization.

9891797328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1747 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The square root of 9891797328 is about 99457.5151911609. The cubic root of 9891797328 is about 2146.6359742964.

The spelling of 9891797328 in words is "nine billion, eight hundred ninety-one million, seven hundred ninety-seven thousand, three hundred twenty-eight".