228547728 has 120 divisors (see below), whose sum is σ = 685503000. Its totient is φ = 70828032.

The previous prime is 228547727. The next prime is 228547729. The reversal of 228547728 is 827745822.

228547728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228547727) and next prime (228547729).

It can be written as a sum of positive squares in 4 ways, for example, as 75481344 + 153066384 = 8688^2 + 12372^2 .

It is not an unprimeable number, because it can be changed into a prime (228547723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217348 + ... + 218396.

It is an arithmetic number, because the mean of its divisors is an integer number (5712525).

Almost surely, 2^228547728 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 228547728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342751500).

228547728 is an abundant number, since it is smaller than the sum of its proper divisors (456955272).

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

228547728 is a wasteful number, since it uses less digits than its factorization.

228547728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 228547728 is about 15117.7950773253. The cubic root of 228547728 is about 611.4002839730.

The spelling of 228547728 in words is "two hundred twenty-eight million, five hundred forty-seven thousand, seven hundred twenty-eight".