867828768 has 48 divisors (see below), whose sum is σ = 2280156480. Its totient is φ = 289008896.

The previous prime is 867828763. The next prime is 867828769.

867828768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (867828763) 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 7 ways as a sum of consecutive naturals, for example, 119053 + ... + 126131.

It is an arithmetic number, because the mean of its divisors is an integer number (47503260).

Almost surely, 2^867828768 is an apocalyptic number.

It is an amenable number.

867828768 is an abundant number, since it is smaller than the sum of its proper divisors (1412327712).

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

867828768 is a wasteful number, since it uses less digits than its factorization.

867828768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8361 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 60.

The square root of 867828768 is about 29458.9335855866. The cubic root of 867828768 is about 953.8454540031.

The spelling of 867828768 in words is "eight hundred sixty-seven million, eight hundred twenty-eight thousand, seven hundred sixty-eight".