82511528 has 64 divisors (see below), whose sum is σ = 180792000. Its totient is φ = 34905600.

The previous prime is 82511521. The next prime is 82511531.

It is a happy number.

82511528 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82511494 and 82511503.

It is not an unprimeable number, because it can be changed into a prime (82511521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101588 + ... + 102396.

It is an arithmetic number, because the mean of its divisors is an integer number (2824875).

Almost surely, 2^82511528 is an apocalyptic number.

82511528 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 82511528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90396000).

82511528 is an abundant number, since it is smaller than the sum of its proper divisors (98280472).

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

82511528 is a wasteful number, since it uses less digits than its factorization.

82511528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its digits is 6400, while the sum is 32.

The square root of 82511528 is about 9083.5856356397. The cubic root of 82511528 is about 435.3496602896.

It can be divided in two parts, 8251 and 1528, that added together give a palindrome (9779).

The spelling of 82511528 in words is "eighty-two million, five hundred eleven thousand, five hundred twenty-eight".