228286129824 has 288 divisors, whose sum is σ = 716231932416. Its totient is φ = 68656250880.

The previous prime is 228286129789. The next prime is 228286129847. The reversal of 228286129824 is 428921682822.

228286129824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×228286129824² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16233004 + ... + 16247060.

It is an arithmetic number, because the mean of its divisors is an integer number (2486916432).

Almost surely, 2^228286129824 is an apocalyptic number.

228286129824 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 228286129824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358115966208).

228286129824 is an abundant number, since it is smaller than the sum of its proper divisors (487945802592).

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

228286129824 is a wasteful number, since it uses less digits than its factorization.

228286129824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228 (or 14217 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 228286129824 in words is "two hundred twenty-eight billion, two hundred eighty-six million, one hundred twenty-nine thousand, eight hundred twenty-four".