228846384 has 300 divisors, whose sum is σ = 773846304. Its totient is φ = 64862208.

The previous prime is 228846383. The next prime is 228846407. The reversal of 228846384 is 483648822.

228846384 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 4 + 638 + 4 = 666.

228846384 is digitally balanced in base 3, 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 (228846383) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4869049 + ... + 4869095.

Almost surely, 2^228846384 is an apocalyptic number.

228846384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228846384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386923152).

228846384 is an abundant number, since it is smaller than the sum of its proper divisors (544999920).

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

228846384 is a wasteful number, since it uses less digits than its factorization.

228846384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 228846384 is about 15127.6694834333. The cubic root of 228846384 is about 611.6664849476. Note that the first 3 decimals are identical.

The spelling of 228846384 in words is "two hundred twenty-eight million, eight hundred forty-six thousand, three hundred eighty-four".