8281433200 has 120 divisors (see below), whose sum is σ = 20436626000. Its totient is φ = 3223756800.

The previous prime is 8281433141. The next prime is 8281433201. The reversal of 8281433200 is 23341828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8281433201) 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 23 ways as a sum of consecutive naturals, for example, 2365051 + ... + 2368549.

Almost surely, 2^8281433200 is an apocalyptic number.

8281433200 is a gapful number since it is divisible by the number (80) 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 8281433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10218313000).

8281433200 is an abundant number, since it is smaller than the sum of its proper divisors (12155192800).

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

8281433200 is a wasteful number, since it uses less digits than its factorization.

8281433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 8281433200 is about 91002.3801886522. The cubic root of 8281433200 is about 2023.1830025512.

The spelling of 8281433200 in words is "eight billion, two hundred eighty-one million, four hundred thirty-three thousand, two hundred".