82285128 has 48 divisors (see below), whose sum is σ = 225377100. Its totient is φ = 27118080.

The previous prime is 82285123. The next prime is 82285139. The reversal of 82285128 is 82158228.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79602084 + 2683044 = 8922^2 + 1638^2 .

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 = 82285092 and 82285101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82285123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 12828.

Almost surely, 2^82285128 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 82285128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112688550).

82285128 is an abundant number, since it is smaller than the sum of its proper divisors (143091972).

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

82285128 is a wasteful number, since it uses less digits than its factorization.

82285128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942 (or 12935 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 82285128 is about 9071.1150362014. The cubic root of 82285128 is about 434.9511161873.

The spelling of 82285128 in words is "eighty-two million, two hundred eighty-five thousand, one hundred twenty-eight".