82033028 has 48 divisors (see below), whose sum is σ = 180641664. Its totient is φ = 31664640.

The previous prime is 82032989. The next prime is 82033031.

82033028 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82032988 and 82033006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33626 + ... + 35982.

It is an arithmetic number, because the mean of its divisors is an integer number (3763368).

Almost surely, 2^82033028 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 82033028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90320832).

82033028 is an abundant number, since it is smaller than the sum of its proper divisors (98608636).

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

82033028 is a wasteful number, since it uses less digits than its factorization.

82033028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 82033028 is about 9057.2086207617. The cubic root of 82033028 is about 434.5064698264.

The spelling of 82033028 in words is "eighty-two million, thirty-three thousand, twenty-eight".