8400282912 has 288 divisors, whose sum is σ = 28785818880. Its totient is φ = 2272757760.

The previous prime is 8400282797. The next prime is 8400282953. The reversal of 8400282912 is 2192820048.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3097237 + ... + 3099947.

It is an arithmetic number, because the mean of its divisors is an integer number (99950760).

Almost surely, 2^8400282912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8400282912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392909440).

8400282912 is an abundant number, since it is smaller than the sum of its proper divisors (20385535968).

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

8400282912 is a wasteful number, since it uses less digits than its factorization.

8400282912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8400282912 is about 91653.0572976156. The cubic root of 8400282912 is about 2032.8155348597.

The spelling of 8400282912 in words is "eight billion, four hundred million, two hundred eighty-two thousand, nine hundred twelve".