2628288 has 126 divisors (see below), whose sum is σ = 8459724. Its totient is φ = 808704.

The previous prime is 2628277. The next prime is 2628331. The reversal of 2628288 is 8828262.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2628288 is a `hidden beast` number, since 2 + 628 + 28 + 8 = 666.

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 an Ulam number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 202170 + ... + 202182.

2^2628288 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 2628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229862).

2628288 is an abundant number, since it is smaller than the sum of its proper divisors (5831436).

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

2628288 is an equidigital number, since it uses as much as digits as its factorization.

2628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 18 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2628288 is about 1621.1995558845. The cubic root of 2628288 is about 138.0037806148.

It can be divided in two parts, 2628 and 288, that added together give a square (2916 = 54²).

The spelling of 2628288 in words is "two million, six hundred twenty-eight thousand, two hundred eighty-eight".