4448000128 has 128 divisors (see below), whose sum is σ = 10666131840. Its totient is φ = 1820467200.

The previous prime is 4448000099. The next prime is 4448000171. The reversal of 4448000128 is 8210008444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4448000128.

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 15 ways as a sum of consecutive naturals, for example, 747501 + ... + 753427.

It is an arithmetic number, because the mean of its divisors is an integer number (83329155).

Almost surely, 2^4448000128 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 4448000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333065920).

4448000128 is an abundant number, since it is smaller than the sum of its proper divisors (6218131712).

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

4448000128 is a wasteful number, since it uses less digits than its factorization.

4448000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 5994 counting only the distinct ones).

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

The square root of 4448000128 is about 66693.3289617485. The cubic root of 4448000128 is about 1644.5797194996.

The spelling of 4448000128 in words is "four billion, four hundred forty-eight million, one hundred twenty-eight", and thus it is an aban number.