82584828 has 36 divisors (see below), whose sum is σ = 213202080. Its totient is φ = 26942016.

The previous prime is 82584809. The next prime is 82584829. The reversal of 82584828 is 82848528.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82584829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22713 + ... + 26096.

It is an arithmetic number, because the mean of its divisors is an integer number (5922280).

Almost surely, 2^82584828 is an apocalyptic number.

It is an amenable number.

82584828 is an abundant number, since it is smaller than the sum of its proper divisors (130617252).

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

82584828 is a wasteful number, since it uses less digits than its factorization.

82584828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48866 (or 48861 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 82584828 is about 9087.6194902736. The cubic root of 82584828 is about 435.4785379790.

The spelling of 82584828 in words is "eighty-two million, five hundred eighty-four thousand, eight hundred twenty-eight".