82582528 has 88 divisors (see below), whose sum is σ = 193957344. Its totient is φ = 34406400.

The previous prime is 82582523. The next prime is 82582537. The reversal of 82582528 is 82528528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82582523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293748 + ... + 294028.

Almost surely, 2^82582528 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 82582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96978672).

82582528 is an abundant number, since it is smaller than the sum of its proper divisors (111374816).

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

82582528 is a wasteful number, since it uses less digits than its factorization.

82582528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its digits is 102400, while the sum is 40.

The square root of 82582528 is about 9087.4929436011. The cubic root of 82582528 is about 435.4744952270.

The spelling of 82582528 in words is "eighty-two million, five hundred eighty-two thousand, five hundred twenty-eight".