82533433528 has 128 divisors (see below), whose sum is σ = 192608640000. Its totient is φ = 32476878720.

The previous prime is 82533433487. The next prime is 82533433573.

82533433528 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24481683 + ... + 24485053.

It is an arithmetic number, because the mean of its divisors is an integer number (1504755000).

Almost surely, 2^82533433528 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 82533433528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96304320000).

82533433528 is an abundant number, since it is smaller than the sum of its proper divisors (110075206472).

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

82533433528 is a wasteful number, since it uses less digits than its factorization.

82533433528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3592 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The spelling of 82533433528 in words is "eighty-two billion, five hundred thirty-three million, four hundred thirty-three thousand, five hundred twenty-eight".