4228008120 has 576 divisors, whose sum is σ = 17689389120. Its totient is φ = 868589568.

The previous prime is 4228008091. The next prime is 4228008139. The reversal of 4228008120 is 218008224.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6896934 + ... + 6897546.

It is an arithmetic number, because the mean of its divisors is an integer number (30710745).

Almost surely, 2^4228008120 is an apocalyptic number.

4228008120 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 4228008120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844694560).

4228008120 is an abundant number, since it is smaller than the sum of its proper divisors (13461381000).

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

4228008120 is a wasteful number, since it uses less digits than its factorization.

4228008120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4228008120 is about 65023.1352673800. The cubic root of 4228008120 is about 1617.0071400146.

The spelling of 4228008120 in words is "four billion, two hundred twenty-eight million, eight thousand, one hundred twenty".