442444211028 has 72 divisors (see below), whose sum is σ = 1157807731080. Its totient is φ = 142292263680.

The previous prime is 442444211023. The next prime is 442444211029. The reversal of 442444211028 is 820112444244.

442444211028 is a `hidden beast` number, since 442 + 44 + 42 + 110 + 28 = 666.

442444211028 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 158139838224 + 284304372804 = 397668^2 + 533202^2 .

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 = 442444210983 and 442444211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442444211023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288326 + ... + 1595202.

Almost surely, 2^442444211028 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 442444211028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578903865540).

442444211028 is an abundant number, since it is smaller than the sum of its proper divisors (715363520052).

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

442444211028 is a wasteful number, since it uses less digits than its factorization.

442444211028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308297 (or 308292 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 442444211028 in words is "four hundred forty-two billion, four hundred forty-four million, two hundred eleven thousand, twenty-eight".