228220128 has 72 divisors (see below), whose sum is σ = 658200816. Its totient is φ = 74995200.

The previous prime is 228220123. The next prime is 228220129. The reversal of 228220128 is 821022822.

228220128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228220123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14868 + ... + 26028.

It is an arithmetic number, because the mean of its divisors is an integer number (9141678).

Almost surely, 2^228220128 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 228220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329100408).

228220128 is an abundant number, since it is smaller than the sum of its proper divisors (429980688).

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

228220128 is a wasteful number, since it uses less digits than its factorization.

228220128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11248 (or 11237 counting only the distinct ones).

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

The square root of 228220128 is about 15106.9562784831. The cubic root of 228220128 is about 611.1080175074.

The spelling of 228220128 in words is "two hundred twenty-eight million, two hundred twenty thousand, one hundred twenty-eight".