228856320000 has 2080 divisors, whose sum is σ = 1080866012160. Its totient is φ = 46448640000.

The previous prime is 228856319947. The next prime is 228856320023. The reversal of 228856320000 is 23658822.

228856320000 is a `hidden beast` number, since 2 + 288 + 56 + 320 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 5322239979 + ... + 5322240021.

Almost surely, 2^228856320000 is an apocalyptic number.

228856320000 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 228856320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540433006080).

228856320000 is an abundant number, since it is smaller than the sum of its proper divisors (852009692160).

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

228856320000 is an equidigital number, since it uses as much as digits as its factorization.

228856320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 228856320000 its reverse (23658822), we get a palindrome (228879978822).

The spelling of 228856320000 in words is "two hundred twenty-eight billion, eight hundred fifty-six million, three hundred twenty thousand".