228093853680 has 960 divisors, whose sum is σ = 980230118400. Its totient is φ = 46161838080.

The previous prime is 228093853651. The next prime is 228093853693. The reversal of 228093853680 is 86358390822.

228093853680 is a `hidden beast` number, since 2 + 28 + 0 + 9 + 3 + 8 + 536 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 448121266 + ... + 448121774.

It is an arithmetic number, because the mean of its divisors is an integer number (1021073040).

Almost surely, 2^228093853680 is an apocalyptic number.

228093853680 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 228093853680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490115059200).

228093853680 is an abundant number, since it is smaller than the sum of its proper divisors (752136264720).

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

228093853680 is a wasteful number, since it uses less digits than its factorization.

228093853680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 228093853680 in words is "two hundred twenty-eight billion, ninety-three million, eight hundred fifty-three thousand, six hundred eighty".