9889766928 has 100 divisors (see below), whose sum is σ = 29164130028. Its totient is φ = 3234366720.

The previous prime is 9889766927. The next prime is 9889767023. The reversal of 9889766928 is 8296679889.

9889766928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6369955344 + 3519811584 = 79812^2 + 59328^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9889766923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3303 + ... + 140678.

Almost surely, 2^9889766928 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 9889766928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582065014).

9889766928 is an abundant number, since it is smaller than the sum of its proper divisors (19274363100).

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

9889766928 is a wasteful number, since it uses less digits than its factorization.

9889766928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144054 (or 144039 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The square root of 9889766928 is about 99447.3072938629. The cubic root of 9889766928 is about 2146.4890907125.

The spelling of 9889766928 in words is "nine billion, eight hundred eighty-nine million, seven hundred sixty-six thousand, nine hundred twenty-eight".