44328960 has 288 divisors, whose sum is σ = 169926120. Its totient is φ = 10616832.

The previous prime is 44328941. The next prime is 44328967. The reversal of 44328960 is 6982344.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 7750656 = 6048^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44328967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198062 + ... + 1198098.

Almost surely, 2^44328960 is an apocalyptic number.

44328960 is a gapful number since it is divisible by the number (40) 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 44328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84963060).

44328960 is an abundant number, since it is smaller than the sum of its proper divisors (125597160).

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

44328960 is a wasteful number, since it uses less digits than its factorization.

44328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 44328960 is about 6657.9996996095. Note that the first 3 decimals coincide. The cubic root of 44328960 is about 353.9124556095.

It can be divided in two parts, 443 and 28960, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 44328960 in words is "forty-four million, three hundred twenty-eight thousand, nine hundred sixty".