84288200 has 48 divisors (see below), whose sum is σ = 197338560. Its totient is φ = 33480000.

The previous prime is 84288173. The next prime is 84288229. The reversal of 84288200 is 288248.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28805 + ... + 31595.

It is an arithmetic number, because the mean of its divisors is an integer number (4111220).

Almost surely, 2^84288200 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 84288200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98669280).

84288200 is an abundant number, since it is smaller than the sum of its proper divisors (113050360).

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

84288200 is a wasteful number, since it uses less digits than its factorization.

84288200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 84288200 is about 9180.8605261163. The cubic root of 84288200 is about 438.4522063186.

The spelling of 84288200 in words is "eighty-four million, two hundred eighty-eight thousand, two hundred".