441937728 has 112 divisors (see below), whose sum is σ = 1344168000. Its totient is φ = 142216704.

The previous prime is 441937673. The next prime is 441937747. The reversal of 441937728 is 827739144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45703 + ... + 54521.

It is an arithmetic number, because the mean of its divisors is an integer number (12001500).

Almost surely, 2^441937728 is an apocalyptic number.

441937728 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 441937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672084000).

441937728 is an abundant number, since it is smaller than the sum of its proper divisors (902230272).

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

441937728 is a wasteful number, since it uses less digits than its factorization.

441937728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8853 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 441937728 is about 21022.3150009698. The cubic root of 441937728 is about 761.7053855179.

The spelling of 441937728 in words is "four hundred forty-one million, nine hundred thirty-seven thousand, seven hundred twenty-eight".