228826128 has 80 divisors (see below), whose sum is σ = 620452352. Its totient is φ = 72576000.

The previous prime is 228826121. The next prime is 228826141. The reversal of 228826128 is 821628822.

It is a Cunningham number, because it is equal to 15127²-1.

It is a super-2 number, since 2×228826128² = 104722793710944768, which contains 22 as substring.

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 (228826121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89508 + ... + 92028.

Almost surely, 2^228826128 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 228826128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310226176).

228826128 is an abundant number, since it is smaller than the sum of its proper divisors (391626224).

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

228826128 is a wasteful number, since it uses less digits than its factorization.

228826128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2618 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 228826128 is about 15126.9999669465. Note that the first 4 decimals coincide. The cubic root of 228826128 is about 611.6484374963.

The spelling of 228826128 in words is "two hundred twenty-eight million, eight hundred twenty-six thousand, one hundred twenty-eight".