9268128 has 96 divisors (see below), whose sum is σ = 28667520. Its totient is φ = 2903040.

The previous prime is 9268123. The next prime is 9268141. The reversal of 9268128 is 8218629.

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

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

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

It is a junction number, because it is equal to n+sod(n) for n = 9268092 and 9268101.

It is not an unprimeable number, because it can be changed into a prime (9268121) 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, 14373 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (298620).

Almost surely, 2^9268128 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 9268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333760).

9268128 is an abundant number, since it is smaller than the sum of its proper divisors (19399392).

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

9268128 is a wasteful number, since it uses less digits than its factorization.

9268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 9268128 is about 3044.3600312709. The cubic root of 9268128 is about 210.0538637341.

The spelling of 9268128 in words is "nine million, two hundred sixty-eight thousand, one hundred twenty-eight".