228819360 has 384 divisors, whose sum is σ = 926650368. Its totient is φ = 46080000.

The previous prime is 228819323. The next prime is 228819361. The reversal of 228819360 is 63918822.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (228819361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1515285 + ... + 1515435.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2^228819360 is an apocalyptic number.

228819360 is a gapful number since it is divisible by the number (20) 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 228819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463325184).

228819360 is an abundant number, since it is smaller than the sum of its proper divisors (697831008).

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

228819360 is a wasteful number, since it uses less digits than its factorization.

228819360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 228819360 is about 15126.7762593356. The cubic root of 228819360 is about 611.6424071863.

The spelling of 228819360 in words is "two hundred twenty-eight million, eight hundred nineteen thousand, three hundred sixty".