84289128 has 128 divisors (see below), whose sum is σ = 278277120. Its totient is φ = 20597760.

The previous prime is 84289097. The next prime is 84289169. The reversal of 84289128 is 82198248.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 84289128.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30075 + ... + 32757.

It is an arithmetic number, because the mean of its divisors is an integer number (2174040).

Almost surely, 2^84289128 is an apocalyptic number.

84289128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84289128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139138560).

84289128 is an abundant number, since it is smaller than the sum of its proper divisors (193987992).

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

84289128 is a wasteful number, since it uses less digits than its factorization.

84289128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2723 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 84289128 is about 9180.9110659019. The cubic root of 84289128 is about 438.4538154096.

The spelling of 84289128 in words is "eighty-four million, two hundred eighty-nine thousand, one hundred twenty-eight".