442128 has 40 divisors (see below), whose sum is σ = 1168576. Its totient is φ = 144000.

The previous prime is 442121. The next prime is 442139. The reversal of 442128 is 821244.

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 (442121) by changing a digit.

442128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2853 + ... + 3003.

2⁴⁴²¹²⁸ is an apocalyptic number.

442128 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 442128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584288).

442128 is an abundant number, since it is smaller than the sum of its proper divisors (726448).

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

442128 is a wasteful number, since it uses less digits than its factorization.

442128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 442128 is about 664.9270636694. The cubic root of 442128 is about 76.1814684787.

The spelling of 442128 in words is "four hundred forty-two thousand, one hundred twenty-eight".