442841728 has 64 divisors (see below), whose sum is σ = 1025467200. Its totient is φ = 186550272.

The previous prime is 442841719. The next prime is 442841731. The reversal of 442841728 is 827148244.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×442841728² = 392217592116051968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48676 + ... + 57052.

It is an arithmetic number, because the mean of its divisors is an integer number (16022925).

Almost surely, 2^442841728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512733600).

442841728 is an abundant number, since it is smaller than the sum of its proper divisors (582625472).

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

442841728 is an equidigital number, since it uses as much as digits as its factorization.

442841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8445 counting only the distinct ones).

The product of its digits is 114688, while the sum is 40.

The square root of 442841728 is about 21043.8049791382. The cubic root of 442841728 is about 762.2243973238.

The spelling of 442841728 in words is "four hundred forty-two million, eight hundred forty-one thousand, seven hundred twenty-eight".