9989928 has 72 divisors (see below), whose sum is σ = 29333070. Its totient is φ = 3070080.

The previous prime is 9989927. The next prime is 9989957. The reversal of 9989928 is 8299899.

It can be written as a sum of positive squares in 3 ways, for example, as 3849444 + 6140484 = 1962^2 + 2478^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×9989928² = 199597322890368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9989921) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 11758 + ... + 12578.

Almost surely, 2^9989928 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 9989928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666535).

9989928 is an abundant number, since it is smaller than the sum of its proper divisors (19343142).

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

9989928 is a wasteful number, since it uses less digits than its factorization.

9989928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 839 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 9989928 is about 3160.6847359394. The cubic root of 9989928 is about 215.3711131515.

The spelling of 9989928 in words is "nine million, nine hundred eighty-nine thousand, nine hundred twenty-eight".