82020528 has 60 divisors (see below), whose sum is σ = 230474088. Its totient is φ = 27229440.

The previous prime is 82020503. The next prime is 82020559. The reversal of 82020528 is 82502028.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39451 + ... + 41477.

Almost surely, 2^82020528 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 82020528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115237044).

82020528 is an abundant number, since it is smaller than the sum of its proper divisors (148453560).

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

82020528 is a wasteful number, since it uses less digits than its factorization.

82020528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82020528 is about 9056.5185363913. The cubic root of 82020528 is about 434.4843990138.

The spelling of 82020528 in words is "eighty-two million, twenty thousand, five hundred twenty-eight".