44224128 has 96 divisors (see below), whose sum is σ = 137095140. Its totient is φ = 13602816.

The previous prime is 44224097. The next prime is 44224151. The reversal of 44224128 is 82142244.

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 28224 = 6648^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13500 + ... + 16452.

Almost surely, 2^44224128 is an apocalyptic number.

44224128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68547570).

44224128 is an abundant number, since it is smaller than the sum of its proper divisors (92871012).

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

44224128 is a wasteful number, since it uses less digits than its factorization.

44224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2971 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 44224128 is about 6650.1224048885. The cubic root of 44224128 is about 353.6332503556.

The spelling of 44224128 in words is "forty-four million, two hundred twenty-four thousand, one hundred twenty-eight".