82832128 has 36 divisors (see below), whose sum is σ = 166115880. Its totient is φ = 41222144.

The previous prime is 82832063. The next prime is 82832129. The reversal of 82832128 is 82123828.

It is a super-2 number, since 2×82832128² = 13722322858016768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82832093 and 82832102.

It is not an unprimeable number, because it can be changed into a prime (82832129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65163 + ... + 66421.

It is an arithmetic number, because the mean of its divisors is an integer number (4614330).

Almost surely, 2^82832128 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 82832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83057940).

82832128 is an abundant number, since it is smaller than the sum of its proper divisors (83283752).

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

82832128 is a wasteful number, since it uses less digits than its factorization.

82832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1518 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 82832128 is about 9101.2157429653. The cubic root of 82832128 is about 435.9127845077.

The spelling of 82832128 in words is "eighty-two million, eight hundred thirty-two thousand, one hundred twenty-eight".