4283223824 has 60 divisors (see below), whose sum is σ = 9271555020. Its totient is φ = 1914950400.

The previous prime is 4283223823. The next prime is 4283223853.

4283223824 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2237290000 + 2045933824 = 47300^2 + 45232^2 .

It is not an unprimeable number, because it can be changed into a prime (4283223821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99962 + ... + 136230.

It is an arithmetic number, because the mean of its divisors is an integer number (154525917).

Almost surely, 2^4283223824 is an apocalyptic number.

4283223824 is a gapful number since it is divisible by the number (44) 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 4283223824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635777510).

4283223824 is an abundant number, since it is smaller than the sum of its proper divisors (4988331196).

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

4283223824 is a wasteful number, since it uses less digits than its factorization.

4283223824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36360 (or 36343 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 4283223824 is about 65446.3430911155. The cubic root of 4283223824 is about 1624.0158236545.

The spelling of 4283223824 in words is "four billion, two hundred eighty-three million, two hundred twenty-three thousand, eight hundred twenty-four".