441361728 has 84 divisors (see below), whose sum is σ = 1276467348. Its totient is φ = 145797120.

The previous prime is 441361721. The next prime is 441361729. The reversal of 441361728 is 827163144.

441361728 is a `hidden beast` number, since 4 + 4 + 13 + 617 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75481344 + 365880384 = 8688^2 + 19128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 441361692 and 441361701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441361721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61698 + ... + 68478.

Almost surely, 2^441361728 is an apocalyptic number.

441361728 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 441361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638233674).

441361728 is an abundant number, since it is smaller than the sum of its proper divisors (835105620).

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

441361728 is a wasteful number, since it uses less digits than its factorization.

441361728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6899 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 441361728 is about 21008.6108060481. The cubic root of 441361728 is about 761.3743184738.

The spelling of 441361728 in words is "four hundred forty-one million, three hundred sixty-one thousand, seven hundred twenty-eight".