228393505296 has 240 divisors, whose sum is σ = 709423790400. Its totient is φ = 68011130880.

The previous prime is 228393505273. The next prime is 228393505297. The reversal of 228393505296 is 692505393822.

228393505296 is a `hidden beast` number, since 2 + 2 + 83 + 9 + 35 + 0 + 529 + 6 = 666.

It is a super-2 number, since 2×228393505296² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228393505297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47649076 + ... + 47653868.

It is an arithmetic number, because the mean of its divisors is an integer number (2955932460).

Almost surely, 2^228393505296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228393505296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354711895200).

228393505296 is an abundant number, since it is smaller than the sum of its proper divisors (481030285104).

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

228393505296 is a wasteful number, since it uses less digits than its factorization.

228393505296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 228393505296 in words is "two hundred twenty-eight billion, three hundred ninety-three million, five hundred five thousand, two hundred ninety-six".