84084228 has 72 divisors (see below), whose sum is σ = 223449408. Its totient is φ = 26609088.

The previous prime is 84084223. The next prime is 84084233. The reversal of 84084228 is 82248048.

It is an interprime number because it is at equal distance from previous prime (84084223) and next prime (84084233).

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

It is a junction number, because it is equal to n+sod(n) for n = 84084192 and 84084201.

It is not an unprimeable number, because it can be changed into a prime (84084223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142951 + ... + 143537.

It is an arithmetic number, because the mean of its divisors is an integer number (3103464).

Almost surely, 2^84084228 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 84084228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111724704).

84084228 is an abundant number, since it is smaller than the sum of its proper divisors (139365180).

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

84084228 is a wasteful number, since it uses less digits than its factorization.

84084228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84084228 is about 9169.7452527319. The cubic root of 84084228 is about 438.0982453037.

The spelling of 84084228 in words is "eighty-four million, eighty-four thousand, two hundred twenty-eight".