228768000030 has 128 divisors (see below), whose sum is σ = 618998889600. Its totient is φ = 60115156992.

The previous prime is 228768000029. The next prime is 228768000053. The reversal of 228768000030 is 30000867822.

It is a happy number.

It is a super-3 number, since 3×228768000030³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6083526 + ... + 6121014.

It is an arithmetic number, because the mean of its divisors is an integer number (4835928825).

Almost surely, 2^228768000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228768000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309499444800).

228768000030 is an abundant number, since it is smaller than the sum of its proper divisors (390230889570).

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

228768000030 is a wasteful number, since it uses less digits than its factorization.

228768000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37835 (or 37829 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 228768000030 its reverse (30000867822), we get a palindrome (258768867852).

The spelling of 228768000030 in words is "two hundred twenty-eight billion, seven hundred sixty-eight million, thirty", and thus it is an aban number.