228008263680 has 864 divisors, whose sum is σ = 863687784960. Its totient is φ = 55490641920.

The previous prime is 228008263669. The next prime is 228008263751. The reversal of 228008263680 is 86362800822.

228008263680 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 0 + 8 + 2 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5302517739 + ... + 5302517781.

It is an arithmetic number, because the mean of its divisors is an integer number (999638640).

Almost surely, 2^228008263680 is an apocalyptic number.

228008263680 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 228008263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431843892480).

228008263680 is an abundant number, since it is smaller than the sum of its proper divisors (635679521280).

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

228008263680 is an equidigital number, since it uses as much as digits as its factorization.

228008263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 228008263680 in words is "two hundred twenty-eight billion, eight million, two hundred sixty-three thousand, six hundred eighty".