84288108 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 25271296.

The previous prime is 84288107. The next prime is 84288133. The reversal of 84288108 is 80188248.

It is a super-3 number, since 3×84288108³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (84288107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565618 + ... + 565766.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^84288108 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 84288108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

84288108 is an abundant number, since it is smaller than the sum of its proper divisors (133439892).

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

84288108 is a wasteful number, since it uses less digits than its factorization.

84288108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 84288108 is about 9180.8555156913. The cubic root of 84288108 is about 438.4520467960.

The spelling of 84288108 in words is "eighty-four million, two hundred eighty-eight thousand, one hundred eight".