4224128 has 32 divisors (see below), whose sum is σ = 8569020. Its totient is φ = 2073600.

The previous prime is 4224127. The next prime is 4224131. The reversal of 4224128 is 8214224.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3717184 + 506944 = 1928^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4224127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7538 + ... + 8078.

Almost surely, 2^4224128 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 4224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284510).

4224128 is an abundant number, since it is smaller than the sum of its proper divisors (4344892).

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

4224128 is an equidigital number, since it uses as much as digits as its factorization.

4224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 4224128 is about 2055.2683523083. The cubic root of 4224128 is about 161.6512336326.

The spelling of 4224128 in words is "four million, two hundred twenty-four thousand, one hundred twenty-eight".