44972928 has 384 divisors, whose sum is σ = 179193600. Its totient is φ = 10782720.

The previous prime is 44972923. The next prime is 44972929. The reversal of 44972928 is 82927944.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (290304) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44972923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3459450 + ... + 3459462.

It is an arithmetic number, because the mean of its divisors is an integer number (466650).

Almost surely, 2^44972928 is an apocalyptic number.

44972928 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 44972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89596800).

44972928 is an abundant number, since it is smaller than the sum of its proper divisors (134220672).

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

44972928 is a wasteful number, since it uses less digits than its factorization.

44972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 44972928 is about 6706.1858011839. The cubic root of 44972928 is about 355.6179885736.

The spelling of 44972928 in words is "forty-four million, nine hundred seventy-two thousand, nine hundred twenty-eight".