228186288 has 160 divisors (see below), whose sum is σ = 738048000. Its totient is φ = 66873600.

The previous prime is 228186281. The next prime is 228186317. The reversal of 228186288 is 882681822.

228186288 is a `hidden beast` number, since 2 + 2 + 8 + 18 + 628 + 8 = 666.

228186288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (228186281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146538 + ... + 148086.

It is an arithmetic number, because the mean of its divisors is an integer number (4612800).

Almost surely, 2^228186288 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 228186288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369024000).

228186288 is an abundant number, since it is smaller than the sum of its proper divisors (509861712).

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

228186288 is a wasteful number, since it uses less digits than its factorization.

228186288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1596 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 228186288 is about 15105.8362231291. The cubic root of 228186288 is about 611.0778114111.

The spelling of 228186288 in words is "two hundred twenty-eight million, one hundred eighty-six thousand, two hundred eighty-eight".