9926928 has 80 divisors (see below), whose sum is σ = 31099200. Its totient is φ = 3006720.

The previous prime is 9926923. The next prime is 9926933. The reversal of 9926928 is 8296299.

It is an interprime number because it is at equal distance from previous prime (9926923) and next prime (9926933).

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 (9926923) 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 15 ways as a sum of consecutive naturals, for example, 3708 + ... + 5796.

It is an arithmetic number, because the mean of its divisors is an integer number (388740).

Almost surely, 2^9926928 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 9926928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549600).

9926928 is an abundant number, since it is smaller than the sum of its proper divisors (21172272).

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

9926928 is a wasteful number, since it uses less digits than its factorization.

9926928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2105 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9926928 is about 3150.7027787464. The cubic root of 9926928 is about 214.9174227677.

The spelling of 9926928 in words is "nine million, nine hundred twenty-six thousand, nine hundred twenty-eight".