10444128 has 24 divisors (see below), whose sum is σ = 27416088. Its totient is φ = 3481344.

The previous prime is 10444123. The next prime is 10444151. The reversal of 10444128 is 82144401.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10444098 and 10444107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444123) 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 3 ways as a sum of consecutive naturals, for example, 54301 + ... + 54492.

It is an arithmetic number, because the mean of its divisors is an integer number (1142337).

Almost surely, 2^10444128 is an apocalyptic number.

It is an amenable number.

10444128 is an abundant number, since it is smaller than the sum of its proper divisors (16971960).

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

10444128 is a wasteful number, since it uses less digits than its factorization.

10444128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108806 (or 108798 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 10444128 is about 3231.7376131116. The cubic root of 10444128 is about 218.5868652554.

Adding to 10444128 its reverse (82144401), we get a palindrome (92588529).

The spelling of 10444128 in words is "ten million, four hundred forty-four thousand, one hundred twenty-eight".