44128128 has 128 divisors (see below), whose sum is σ = 132387840. Its totient is φ = 12902400.

The previous prime is 44128121. The next prime is 44128129. The reversal of 44128128 is 82182144.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 44128095 and 44128104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44128121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130776 + ... + 131112.

It is an arithmetic number, because the mean of its divisors is an integer number (1034280).

Almost surely, 2^44128128 is an apocalyptic number.

44128128 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 44128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66193920).

44128128 is an abundant number, since it is smaller than the sum of its proper divisors (88259712).

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

44128128 is a wasteful number, since it uses less digits than its factorization.

44128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 44128128 is about 6642.9005712866. The cubic root of 44128128 is about 353.3771805875.

The spelling of 44128128 in words is "forty-four million, one hundred twenty-eight thousand, one hundred twenty-eight".