4228128 has 72 divisors (see below), whose sum is σ = 12294828. Its totient is φ = 1377792.

The previous prime is 4228111. The next prime is 4228141. The reversal of 4228128 is 8218224.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 17424 = 2052^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15126 + ... + 15402.

Almost surely, 2^4228128 is an apocalyptic number.

4228128 is a gapful number since it is divisible by the number (48) 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 4228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147414).

4228128 is an abundant number, since it is smaller than the sum of its proper divisors (8066700).

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

4228128 is a wasteful number, since it uses less digits than its factorization.

4228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

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

The square root of 4228128 is about 2056.2412309843. The cubic root of 4228128 is about 161.7022422623.

It can be divided in two parts, 4228 and 128, that added together give a square (4356 = 66²).

The spelling of 4228128 in words is "four million, two hundred twenty-eight thousand, one hundred twenty-eight".