4448288 has 72 divisors (see below), whose sum is σ = 10289412. Its totient is φ = 1880064.

The previous prime is 4448287. The next prime is 4448291. The reversal of 4448288 is 8828444.

4448288 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 6 ways, for example, as 3579664 + 868624 = 1892^2 + 932^2 .

It is a super-2 number, since 2×4448288² = 39574532261888, 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 (4448287) 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 11 ways as a sum of consecutive naturals, for example, 120206 + ... + 120242.

Almost surely, 2^4448288 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 4448288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144706).

4448288 is an abundant number, since it is smaller than the sum of its proper divisors (5841124).

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

4448288 is a wasteful number, since it uses less digits than its factorization.

4448288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its digits is 65536, while the sum is 38.

The square root of 4448288 is about 2109.0964890208. The cubic root of 4448288 is about 164.4615197484.

The spelling of 4448288 in words is "four million, four hundred forty-eight thousand, two hundred eighty-eight".