228743827200 has 1728 divisors, whose sum is σ = 1040183424000. Its totient is φ = 48014622720.

The previous prime is 228743827183. The next prime is 228743827201. The reversal of 228743827200 is 2728347822.

228743827200 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 438 + 2 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228743827201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 850348666 + ... + 850348934.

It is an arithmetic number, because the mean of its divisors is an integer number (601958000).

Almost surely, 2^228743827200 is an apocalyptic number.

228743827200 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 228743827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520091712000).

228743827200 is an abundant number, since it is smaller than the sum of its proper divisors (811439596800).

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

228743827200 is a wasteful number, since it uses less digits than its factorization.

228743827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 228743827200 in words is "two hundred twenty-eight billion, seven hundred forty-three million, eight hundred twenty-seven thousand, two hundred".