8489284800 has 168 divisors, whose sum is σ = 28140605136. Its totient is φ = 2240348160.

The previous prime is 8489284799. The next prime is 8489284801. The reversal of 8489284800 is 84829848.

It is an interprime number because it is at equal distance from previous prime (8489284799) and next prime (8489284801).

It is a super-2 number, since 2×8489284800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8489284801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456484 + ... + 474716.

It is an arithmetic number, because the mean of its divisors is an integer number (167503602).

Almost surely, 2^8489284800 is an apocalyptic number.

8489284800 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 8489284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14070302568).

8489284800 is an abundant number, since it is smaller than the sum of its proper divisors (19651320336).

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

8489284800 is a wasteful number, since it uses less digits than its factorization.

8489284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18355 (or 18340 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 8489284800 is about 92137.3149163790. The cubic root of 8489284800 is about 2039.9696266143.

The spelling of 8489284800 in words is "eight billion, four hundred eighty-nine million, two hundred eighty-four thousand, eight hundred".