4228891128 has 288 divisors, whose sum is σ = 14805048960. Its totient is φ = 1059367680.

The previous prime is 4228891127. The next prime is 4228891153. The reversal of 4228891128 is 8211988224.

It is a super-2 number, since 2×4228891128² = 35767040344954224768, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228891127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4662051 + ... + 4662957.

It is an arithmetic number, because the mean of its divisors is an integer number (51406420).

Almost surely, 2^4228891128 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 4228891128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402524480).

4228891128 is an abundant number, since it is smaller than the sum of its proper divisors (10576157832).

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

4228891128 is a wasteful number, since it uses less digits than its factorization.

4228891128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 959 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 4228891128 is about 65029.9248654033. The cubic root of 4228891128 is about 1617.1197013604.

The spelling of 4228891128 in words is "four billion, two hundred twenty-eight million, eight hundred ninety-one thousand, one hundred twenty-eight".