9286128 has 60 divisors (see below), whose sum is σ = 26452920. Its totient is φ = 3040128.

The previous prime is 9286093. The next prime is 9286129. The reversal of 9286128 is 8216829.

9286128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 9286092 and 9286101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9286129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7950 + ... + 9042.

It is an arithmetic number, because the mean of its divisors is an integer number (440882).

Almost surely, 2^9286128 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 9286128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226460).

9286128 is an abundant number, since it is smaller than the sum of its proper divisors (17166792).

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

9286128 is a wasteful number, since it uses less digits than its factorization.

9286128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1157 counting only the distinct ones).

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

The square root of 9286128 is about 3047.3148836312. The cubic root of 9286128 is about 210.1897604496.

It can be divided in two parts, 928 and 6128, that added together give a square (7056 = 84²).

The spelling of 9286128 in words is "nine million, two hundred eighty-six thousand, one hundred twenty-eight".