4432838872 has 96 divisors (see below), whose sum is σ = 10723779360. Its totient is φ = 1680307200.

The previous prime is 4432838867. The next prime is 4432838873. The reversal of 4432838872 is 2788382344.

It is a super-2 number, since 2×4432838872² = 39300120930228464768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432838873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241872 + ... + 259552.

It is an arithmetic number, because the mean of its divisors is an integer number (111706035).

Almost surely, 2^4432838872 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 4432838872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361889680).

4432838872 is an abundant number, since it is smaller than the sum of its proper divisors (6290940488).

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

4432838872 is a wasteful number, since it uses less digits than its factorization.

4432838872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17753 (or 17738 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 49.

The square root of 4432838872 is about 66579.5679769702. The cubic root of 4432838872 is about 1642.7090452856.

The spelling of 4432838872 in words is "four billion, four hundred thirty-two million, eight hundred thirty-eight thousand, eight hundred seventy-two".