2288128 has 40 divisors (see below), whose sum is σ = 4726260. Its totient is φ = 1105920.

The previous prime is 2288123. The next prime is 2288161. The reversal of 2288128 is 8218822.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 73984 = 1488^2 + 272^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2288128.

It is not an unprimeable number, because it can be changed into a prime (2288123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20938 + ... + 21046.

2^2288128 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 2288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363130).

2288128 is an abundant number, since it is smaller than the sum of its proper divisors (2438132).

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

2288128 is an equidigital number, since it uses as much as digits as its factorization.

2288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its digits is 4096, while the sum is 31.

The square root of 2288128 is about 1512.6559423742. The cubic root of 2288128 is about 131.7731027062.

The spelling of 2288128 in words is "two million, two hundred eighty-eight thousand, one hundred twenty-eight".