228783767224320 has 2176 divisors, whose sum is σ = 1039030561013760. Its totient is φ = 46374322176000.

The previous prime is 228783767224303. The next prime is 228783767224339. The reversal of 228783767224320 is 23422767387822.

It is a happy number.

228783767224320 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 8 + 376 + 7 + 224 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27931111425 + ... + 27931119615.

Almost surely, 2^{228783767224320} is an apocalyptic number.

228783767224320 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 228783767224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519515280506880).

228783767224320 is an abundant number, since it is smaller than the sum of its proper divisors (810246793789440).

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

228783767224320 is an equidigital number, since it uses as much as digits as its factorization.

228783767224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8296 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 228783767224320 in words is "two hundred twenty-eight trillion, seven hundred eighty-three billion, seven hundred sixty-seven million, two hundred twenty-four thousand, three hundred twenty".