4442328000 has 672 divisors, whose sum is σ = 17802270720. Its totient is φ = 1048320000.

The previous prime is 4442327969. The next prime is 4442328017. The reversal of 4442328000 is 8232444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56231961 + ... + 56232039.

Almost surely, 2^4442328000 is an apocalyptic number.

4442328000 is a gapful number since it is divisible by the number (40) 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 4442328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8901135360).

4442328000 is an abundant number, since it is smaller than the sum of its proper divisors (13359942720).

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

4442328000 is a wasteful number, since it uses less digits than its factorization.

4442328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4442328000 is about 66650.7914431629. The cubic root of 4442328000 is about 1643.8803614076.

The spelling of 4442328000 in words is "four billion, four hundred forty-two million, three hundred twenty-eight thousand".