84417228 has 144 divisors (see below), whose sum is σ = 266622720. Its totient is φ = 22814784.

The previous prime is 84417227. The next prime is 84417233. The reversal of 84417228 is 82271448.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 84417192 and 84417201.

It is not an unprimeable number, because it can be changed into a prime (84417227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128950 + ... + 129602.

Almost surely, 2^84417228 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 84417228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133311360).

84417228 is an abundant number, since it is smaller than the sum of its proper divisors (182205492).

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

84417228 is a wasteful number, since it uses less digits than its factorization.

84417228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 84417228 is about 9187.8848490825. The cubic root of 84417228 is about 438.6758191484.

The spelling of 84417228 in words is "eighty-four million, four hundred seventeen thousand, two hundred twenty-eight".