82033033028 has 24 divisors (see below), whose sum is σ = 146727974232. Its totient is φ = 40115638784.

The previous prime is 82033033013. The next prime is 82033033073.

82033033028 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6927424 + 82026105604 = 2632^2 + 286402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82033032985 and 82033033003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543125 + ... + 677532.

It is an arithmetic number, because the mean of its divisors is an integer number (6113665593).

Almost surely, 2^82033033028 is an apocalyptic number.

It is an amenable number.

82033033028 is a deficient number, since it is larger than the sum of its proper divisors (64694941204).

82033033028 is a wasteful number, since it uses less digits than its factorization.

82033033028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221031 (or 1221029 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 820330 and 33028, that added together give a palindrome (853358).

The spelling of 82033033028 in words is "eighty-two billion, thirty-three million, thirty-three thousand, twenty-eight".