44005728 has 96 divisors (see below), whose sum is σ = 127897056. Its totient is φ = 13160448.

The previous prime is 44005723. The next prime is 44005747. The reversal of 44005728 is 82750044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 44005695 and 44005704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44005721) 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, 45700 + ... + 46652.

It is an arithmetic number, because the mean of its divisors is an integer number (1332261).

Almost surely, 2^44005728 is an apocalyptic number.

44005728 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 44005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63948528).

44005728 is an abundant number, since it is smaller than the sum of its proper divisors (83891328).

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

44005728 is a wasteful number, since it uses less digits than its factorization.

44005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 44005728 is about 6633.6813309052. The cubic root of 44005728 is about 353.0501524400.

The spelling of 44005728 in words is "forty-four million, five thousand, seven hundred twenty-eight".