44320128 has 64 divisors (see below), whose sum is σ = 118499520. Its totient is φ = 14676480.

The previous prime is 44320127. The next prime is 44320169. The reversal of 44320128 is 82102344.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 44320098 and 44320107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44320121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80751 + ... + 81297.

It is an arithmetic number, because the mean of its divisors is an integer number (1851555).

Almost surely, 2^44320128 is an apocalyptic number.

44320128 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 44320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59249760).

44320128 is an abundant number, since it is smaller than the sum of its proper divisors (74179392).

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

44320128 is a wasteful number, since it uses less digits than its factorization.

44320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 44320128 is about 6657.3364042986. The cubic root of 44320128 is about 353.8889498139. Note that the first 3 decimals are identical.

The spelling of 44320128 in words is "forty-four million, three hundred twenty thousand, one hundred twenty-eight".