283228099200 has 720 divisors, whose sum is σ = 1068004787850. Its totient is φ = 73911951360.

The previous prime is 283228099199. The next prime is 283228099201. The reversal of 283228099200 is 2990822382.

283228099200 is a `hidden beast` number, since 2 + 83 + 2 + 280 + 99 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (283228099199) and next prime (283228099201).

It can be written as a sum of positive squares in 9 ways, for example, as 31601461824 + 251626637376 = 177768^2 + 501624^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (283228099201) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 728092606 + ... + 728092994.

Almost surely, 2^283228099200 is an apocalyptic number.

283228099200 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 283228099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534002393925).

283228099200 is an abundant number, since it is smaller than the sum of its proper divisors (784776688650).

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

283228099200 is an equidigital number, since it uses as much as digits as its factorization.

283228099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 283228099200 in words is "two hundred eighty-three billion, two hundred twenty-eight million, ninety-nine thousand, two hundred".