82522528 has 48 divisors (see below), whose sum is σ = 184959936. Its totient is φ = 35875840.

The previous prime is 82522523. The next prime is 82522541.

82522528 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82522493 and 82522502.

It is not an unprimeable number, because it can be changed into a prime (82522523) 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, 3000 + ... + 13192.

It is an arithmetic number, because the mean of its divisors is an integer number (3853332).

Almost surely, 2^82522528 is an apocalyptic number.

82522528 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 82522528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92479968).

82522528 is an abundant number, since it is smaller than the sum of its proper divisors (102437408).

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

82522528 is a wasteful number, since it uses less digits than its factorization.

82522528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10237 (or 10229 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

The square root of 82522528 is about 9084.1911032298. The cubic root of 82522528 is about 435.3690056005.

The spelling of 82522528 in words is "eighty-two million, five hundred twenty-two thousand, five hundred twenty-eight".