82922768 has 30 divisors (see below), whose sum is σ = 166043502. Its totient is φ = 40116480.

The previous prime is 82922767. The next prime is 82922779. The reversal of 82922768 is 86722928.

It can be written as a sum of positive squares in only one way, i.e., 81938704 + 984064 = 9052^2 + 992^2 .

It is not an unprimeable number, because it can be changed into a prime (82922761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12680 + ... + 18072.

Almost surely, 2^82922768 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 82922768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83021751).

82922768 is an abundant number, since it is smaller than the sum of its proper divisors (83120734).

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

82922768 is a wasteful number, since it uses less digits than its factorization.

82922768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5426 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 82922768 is about 9106.1939359976. The cubic root of 82922768 is about 436.0717273907.

The spelling of 82922768 in words is "eighty-two million, nine hundred twenty-two thousand, seven hundred sixty-eight".