82246528 has 128 divisors (see below), whose sum is σ = 211115520. Its totient is φ = 31021056.

The previous prime is 82246517. The next prime is 82246537. The reversal of 82246528 is 82564228.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267751 + ... + 268057.

It is an arithmetic number, because the mean of its divisors is an integer number (1649340).

Almost surely, 2^82246528 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 82246528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

82246528 is an abundant number, since it is smaller than the sum of its proper divisors (128868992).

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

82246528 is a wasteful number, since it uses less digits than its factorization.

82246528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 82246528 is about 9068.9871540321. The cubic root of 82246528 is about 434.8830936117.

The spelling of 82246528 in words is "eighty-two million, two hundred forty-six thousand, five hundred twenty-eight".