84163128 has 64 divisors (see below), whose sum is σ = 241781760. Its totient is φ = 23915136.

The previous prime is 84163127. The next prime is 84163139. The reversal of 84163128 is 82136148.

It is a super-2 number, since 2×84163128² = 14166864229488768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84163127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31825 + ... + 34367.

It is an arithmetic number, because the mean of its divisors is an integer number (3777840).

Almost surely, 2^84163128 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 84163128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120890880).

84163128 is an abundant number, since it is smaller than the sum of its proper divisors (157618632).

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

84163128 is a wasteful number, since it uses less digits than its factorization.

84163128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2752 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 84163128 is about 9174.0464354613. The cubic root of 84163128 is about 438.2352315393.

The spelling of 84163128 in words is "eighty-four million, one hundred sixty-three thousand, one hundred twenty-eight".