228768000000 has 336 divisors, whose sum is σ = 762683987520. Its totient is φ = 60979200000.

The previous prime is 228767999939. The next prime is 228768000029. The reversal of 228768000000 is 867822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 95998809 + ... + 96001191.

It is an arithmetic number, because the mean of its divisors is an integer number (2269892820).

Almost surely, 2^228768000000 is an apocalyptic number.

228768000000 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 228768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381341993760).

228768000000 is an abundant number, since it is smaller than the sum of its proper divisors (533915987520).

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

228768000000 is an frugal number, since it uses more digits than its factorization.

228768000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 228768000000 its reverse (867822), we get a palindrome (228768867822).

The spelling of 228768000000 in words is "two hundred twenty-eight billion, seven hundred sixty-eight million", and thus it is an aban number.