44864928 has 120 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 14152320.

The previous prime is 44864923. The next prime is 44864959. The reversal of 44864928 is 82946844.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44864923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48793 + ... + 49703.

It is an arithmetic number, because the mean of its divisors is an integer number (1158696).

Almost surely, 2^44864928 is an apocalyptic number.

44864928 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 44864928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

44864928 is an abundant number, since it is smaller than the sum of its proper divisors (94178592).

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

44864928 is a wasteful number, since it uses less digits than its factorization.

44864928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 935 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 44864928 is about 6698.1286938965. The cubic root of 44864928 is about 355.3330947538. Note that the first 3 decimals are identical.

The spelling of 44864928 in words is "forty-four million, eight hundred sixty-four thousand, nine hundred twenty-eight".