228705848820 has 144 divisors (see below), whose sum is σ = 717892353360. Its totient is φ = 58866382848.

The previous prime is 228705848801. The next prime is 228705848827. The reversal of 228705848820 is 28848507822.

228705848820 is a `hidden beast` number, since 2 + 28 + 70 + 58 + 488 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52824586896 + 175881261924 = 229836^2 + 419382^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228705848827) 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, 24701632 + ... + 24710888.

It is an arithmetic number, because the mean of its divisors is an integer number (4985363565).

Almost surely, 2^228705848820 is an apocalyptic number.

228705848820 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 228705848820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358946176680).

228705848820 is an abundant number, since it is smaller than the sum of its proper divisors (489186504540).

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

228705848820 is a wasteful number, since it uses less digits than its factorization.

228705848820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14034 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 228705848820 in words is "two hundred twenty-eight billion, seven hundred five million, eight hundred forty-eight thousand, eight hundred twenty".