9628920 has 96 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 2200320.

The previous prime is 9628909. The next prime is 9628921. The reversal of 9628920 is 298269.

9628920 is a `hidden beast` number, since 9 + 628 + 9 + 20 = 666.

It is a super-2 number, since 2×9628920² = 185432200732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9628921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610 + ... + 4430.

It is an arithmetic number, because the mean of its divisors is an integer number (372645).

Almost surely, 2^9628920 is an apocalyptic number.

9628920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9628920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

9628920 is an abundant number, since it is smaller than the sum of its proper divisors (26145000).

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

9628920 is a wasteful number, since it uses less digits than its factorization.

9628920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9628920 is about 3103.0501123894. The cubic root of 9628920 is about 212.7449171506.

The spelling of 9628920 in words is "nine million, six hundred twenty-eight thousand, nine hundred twenty".