4428022259232 has 432 divisors, whose sum is σ = 15361928854272. Its totient is φ = 1238599226880.

The previous prime is 4428022259207. The next prime is 4428022259293. The reversal of 4428022259232 is 2329522208244.

4428022259232 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 0 + 2 + 22 + 592 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4428022259232² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29949393 + ... + 30096879.

It is an arithmetic number, because the mean of its divisors is an integer number (35560020496).

Almost surely, 2^{4428022259232} 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 4428022259232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680964427136).

4428022259232 is an abundant number, since it is smaller than the sum of its proper divisors (10933906595040).

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

4428022259232 is a wasteful number, since it uses less digits than its factorization.

4428022259232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147545 (or 147516 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4428022259232 in words is "four trillion, four hundred twenty-eight billion, twenty-two million, two hundred fifty-nine thousand, two hundred thirty-two".