9807071328 has 96 divisors (see below), whose sum is σ = 28647561600. Its totient is φ = 3264041088.

The previous prime is 9807071327. The next prime is 9807071341. The reversal of 9807071328 is 8231707089.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9807071327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581803 + ... + 598421.

It is an arithmetic number, because the mean of its divisors is an integer number (298412100).

Almost surely, 2^9807071328 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 9807071328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14323780800).

9807071328 is an abundant number, since it is smaller than the sum of its proper divisors (18840490272).

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

9807071328 is a wasteful number, since it uses less digits than its factorization.

9807071328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17321 (or 17307 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 9807071328 is about 99030.6585255294. The cubic root of 9807071328 is about 2140.4895470703.

The spelling of 9807071328 in words is "nine billion, eight hundred seven million, seventy-one thousand, three hundred twenty-eight".