4022218728 has 256 divisors, whose sum is σ = 12528691200. Its totient is φ = 1185408000.

The previous prime is 4022218709. The next prime is 4022218729. The reversal of 4022218728 is 8278122204.

4022218728 is a `hidden beast` number, since 402 + 221 + 8 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4022218692 and 4022218701.

It is not an unprimeable number, because it can be changed into a prime (4022218729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19062543 + ... + 19062753.

It is an arithmetic number, because the mean of its divisors is an integer number (48940200).

Almost surely, 2^4022218728 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 4022218728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264345600).

4022218728 is an abundant number, since it is smaller than the sum of its proper divisors (8506472472).

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

4022218728 is a wasteful number, since it uses less digits than its factorization.

4022218728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4022218728 is about 63420.9644202924. The cubic root of 4022218728 is about 1590.3347959998.

The spelling of 4022218728 in words is "four billion, twenty-two million, two hundred eighteen thousand, seven hundred twenty-eight".