8942284800 has 468 divisors, whose sum is σ = 33168176704. Its totient is φ = 2300313600.

The previous prime is 8942284789. The next prime is 8942284807. The reversal of 8942284800 is 84822498.

It is a happy number.

It is a super-2 number, since 2×8942284800² (a number of 21 digits) contains 22 as substring.

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 (8942284807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28569444 + ... + 28569756.

Almost surely, 2^8942284800 is an apocalyptic number.

8942284800 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 8942284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584088352).

8942284800 is an abundant number, since it is smaller than the sum of its proper divisors (24225891904).

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

8942284800 is a wasteful number, since it uses less digits than its factorization.

8942284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8942284800 is about 94563.6547517068. The cubic root of 8942284800 is about 2075.6278972674.

The spelling of 8942284800 in words is "eight billion, nine hundred forty-two million, two hundred eighty-four thousand, eight hundred".