8672283200 has 168 divisors, whose sum is σ = 24724108032. Its totient is φ = 2932346880.

The previous prime is 8672283187. The next prime is 8672283203. The reversal of 8672283200 is 23822768.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8672283203) 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, 812297 + ... + 822903.

Almost surely, 2^8672283200 is an apocalyptic number.

8672283200 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 8672283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362054016).

8672283200 is an abundant number, since it is smaller than the sum of its proper divisors (16051824832).

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

8672283200 is a wasteful number, since it uses less digits than its factorization.

8672283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709 (or 10694 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 8672283200 is about 93125.0943623683. The cubic root of 8672283200 is about 2054.5236768564.

The spelling of 8672283200 in words is "eight billion, six hundred seventy-two million, two hundred eighty-three thousand, two hundred".