4448128 has 64 divisors (see below), whose sum is σ = 9792000. Its totient is φ = 2004480.

The previous prime is 4448117. The next prime is 4448149. The reversal of 4448128 is 8218444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

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 4448128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75363 + ... + 75421.

It is an arithmetic number, because the mean of its divisors is an integer number (153000).

Almost surely, 2^4448128 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 4448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000).

4448128 is an abundant number, since it is smaller than the sum of its proper divisors (5343872).

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

4448128 is a wasteful number, since it uses less digits than its factorization.

4448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its digits is 8192, while the sum is 31.

The square root of 4448128 is about 2109.0585577456. The cubic root of 4448128 is about 164.4595478918.

The spelling of 4448128 in words is "four million, four hundred forty-eight thousand, one hundred twenty-eight".