967820128 has 96 divisors (see below), whose sum is σ = 2184682752. Its totient is φ = 417753600.

The previous prime is 967820071. The next prime is 967820177. The reversal of 967820128 is 821028769.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1400263 + ... + 1400953.

It is an arithmetic number, because the mean of its divisors is an integer number (22757112).

Almost surely, 2^967820128 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 967820128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092341376).

967820128 is an abundant number, since it is smaller than the sum of its proper divisors (1216862624).

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

967820128 is a wasteful number, since it uses less digits than its factorization.

967820128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 967820128 is about 31109.8075853902. The cubic root of 967820128 is about 989.1562133225.

The spelling of 967820128 in words is "nine hundred sixty-seven million, eight hundred twenty thousand, one hundred twenty-eight".