228728864 has 120 divisors (see below), whose sum is σ = 568210860. Its totient is φ = 90091008.

The previous prime is 228728861. The next prime is 228728869. The reversal of 228728864 is 468827822.

228728864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 227768464 + 960400 = 15092^2 + 980^2 .

It is not an unprimeable number, because it can be changed into a prime (228728861) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 998702 + ... + 998930.

Almost surely, 2^228728864 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 228728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284105430).

228728864 is an abundant number, since it is smaller than the sum of its proper divisors (339481996).

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

228728864 is an equidigital number, since it uses as much as digits as its factorization.

228728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its digits is 688128, while the sum is 47.

The square root of 228728864 is about 15123.7847115066. The cubic root of 228728864 is about 611.5617635295.

The spelling of 228728864 in words is "two hundred twenty-eight million, seven hundred twenty-eight thousand, eight hundred sixty-four".