228586792769280 has 1296 divisors, whose sum is σ = 908259963444288. Its totient is φ = 52938925670400.

The previous prime is 228586792769249. The next prime is 228586792769327. The reversal of 228586792769280 is 82967297685822.

It is a happy number.

228586792769280 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 8 + 67 + 9 + 276 + 9 + 280 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 228586792769280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28244996914 + ... + 28245005006.

It is an arithmetic number, because the mean of its divisors is an integer number (700817873028).

Almost surely, 2^{228586792769280} is an apocalyptic number.

228586792769280 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 228586792769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454129981722144).

228586792769280 is an abundant number, since it is smaller than the sum of its proper divisors (679673170675008).

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

228586792769280 is a wasteful number, since it uses less digits than its factorization.

228586792769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 228586792769280 in words is "two hundred twenty-eight trillion, five hundred eighty-six billion, seven hundred ninety-two million, seven hundred sixty-nine thousand, two hundred eighty".