12428288 has 44 divisors (see below), whose sum is σ = 25423740. Its totient is φ = 6070272.

The previous prime is 12428287. The next prime is 12428293. The reversal of 12428288 is 88282421.

It can be written as a sum of positive squares in 2 ways, for example, as 10445824 + 1982464 = 3232^2 + 1408^2 .

It is a super-2 number, since 2×12428288² = 308924685221888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12428287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54158 + ... + 54386.

Almost surely, 2^12428288 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 12428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12711870).

12428288 is an abundant number, since it is smaller than the sum of its proper divisors (12995452).

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

12428288 is an equidigital number, since it uses as much as digits as its factorization.

12428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its digits is 16384, while the sum is 35.

The square root of 12428288 is about 3525.3777102603. The cubic root of 12428288 is about 231.6347801003.

The spelling of 12428288 in words is "twelve million, four hundred twenty-eight thousand, two hundred eighty-eight".