82048768 has 36 divisors (see below), whose sum is σ = 165891040. Its totient is φ = 40495104.

The previous prime is 82048753. The next prime is 82048789. The reversal of 82048768 is 86784028.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 18196 + ... + 22252.

Almost surely, 2^82048768 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 82048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82945520).

82048768 is an abundant number, since it is smaller than the sum of its proper divisors (83842272).

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

82048768 is an equidigital number, since it uses as much as digits as its factorization.

82048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 82048768 is about 9058.0775002205. The cubic root of 82048768 is about 434.5342582048.

The spelling of 82048768 in words is "eighty-two million, forty-eight thousand, seven hundred sixty-eight".