44893728 has 144 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 13201920.

The previous prime is 44893727. The next prime is 44893747. The reversal of 44893728 is 82739844.

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

It is not an unprimeable number, because it can be changed into a prime (44893727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117025 + ... + 117407.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 2^44893728 is an apocalyptic number.

44893728 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 44893728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

44893728 is an abundant number, since it is smaller than the sum of its proper divisors (98516448).

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

44893728 is a wasteful number, since it uses less digits than its factorization.

44893728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 44893728 is about 6700.2782031793. The cubic root of 44893728 is about 355.4091111035.

The spelling of 44893728 in words is "forty-four million, eight hundred ninety-three thousand, seven hundred twenty-eight".