82866828 has 144 divisors (see below), whose sum is σ = 233501184. Its totient is φ = 22654080.

The previous prime is 82866803. The next prime is 82866859.

82866828 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82866828² = 13733822365563168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1763101 + ... + 1763147.

It is an arithmetic number, because the mean of its divisors is an integer number (1621536).

Almost surely, 2^82866828 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 82866828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

82866828 is an abundant number, since it is smaller than the sum of its proper divisors (150634356).

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

82866828 is a wasteful number, since it uses less digits than its factorization.

82866828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 82866828 is about 9103.1218820798. The cubic root of 82866828 is about 435.9736468094.

The spelling of 82866828 in words is "eighty-two million, eight hundred sixty-six thousand, eight hundred twenty-eight".