967838828944 has 45 divisors (see below), whose sum is σ = 2030636059713. Its totient is φ = 446671233216.

The previous prime is 967838828941. The next prime is 967838828951. The reversal of 967838828944 is 449828838769.

The square root of 967838828944 is 983788.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 143171424400 + 824667404544 = 378380^2 + 908112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (967838828941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51147517 + ... + 51166435.

Almost surely, 2^967838828944 is an apocalyptic number.

967838828944 is the 983788-th square number.

It is an amenable number.

967838828944 is an abundant number, since it is smaller than the sum of its proper divisors (1062797230769).

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

967838828944 is an frugal number, since it uses more digits than its factorization.

967838828944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37872 (or 18934 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 76.

The spelling of 967838828944 in words is "nine hundred sixty-seven billion, eight hundred thirty-eight million, eight hundred twenty-eight thousand, nine hundred forty-four".