82544528 has 40 divisors (see below), whose sum is σ = 175542336. Its totient is φ = 37289600.

The previous prime is 82544519. The next prime is 82544557.

82544528 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82544491 and 82544500.

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 7 ways as a sum of consecutive naturals, for example, 29093 + ... + 31803.

Almost surely, 2^82544528 is an apocalyptic number.

82544528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82544528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87771168).

82544528 is an abundant number, since it is smaller than the sum of its proper divisors (92997808).

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

82544528 is a wasteful number, since it uses less digits than its factorization.

82544528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2897 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

The square root of 82544528 is about 9085.4019173617. The cubic root of 82544528 is about 435.4076910654.

The spelling of 82544528 in words is "eighty-two million, five hundred forty-four thousand, five hundred twenty-eight".