83486128 has 60 divisors (see below), whose sum is σ = 184050720. Its totient is φ = 36615040.

The previous prime is 83486119. The next prime is 83486141. The reversal of 83486128 is 82168438.

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, 55401 + ... + 56887.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2^83486128 is an apocalyptic number.

83486128 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 83486128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

83486128 is an abundant number, since it is smaller than the sum of its proper divisors (100564592).

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

83486128 is a wasteful number, since it uses less digits than its factorization.

83486128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 83486128 is about 9137.0743676518. The cubic root of 83486128 is about 437.0570262476.

The spelling of 83486128 in words is "eighty-three million, four hundred eighty-six thousand, one hundred twenty-eight".