8044128 has 144 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 2396160.

The previous prime is 8044123. The next prime is 8044171. The reversal of 8044128 is 8214408.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8044123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151750 + ... + 151802.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 2^8044128 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 8044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

8044128 is an abundant number, since it is smaller than the sum of its proper divisors (17430048).

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

8044128 is a wasteful number, since it uses less digits than its factorization.

8044128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8044128 is about 2836.2171990170. The cubic root of 8044128 is about 200.3670592587.

The spelling of 8044128 in words is "eight million, forty-four thousand, one hundred twenty-eight".