9124128 has 72 divisors (see below), whose sum is σ = 27954108. Its totient is φ = 2806272.

The previous prime is 9124117. The next prime is 9124133. The reversal of 9124128 is 8214219.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 51984 = 3012^2 + 228^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2526 + ... + 4962.

Almost surely, 2^9124128 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 9124128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977054).

9124128 is an abundant number, since it is smaller than the sum of its proper divisors (18829980).

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

9124128 is a wasteful number, since it uses less digits than its factorization.

9124128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2455 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 9124128 is about 3020.6171554833. The cubic root of 9124128 is about 208.9603031983.

Subtracting from 9124128 its reverse (8214219), we obtain a palindrome (909909).

The spelling of 9124128 in words is "nine million, one hundred twenty-four thousand, one hundred twenty-eight".