967928 has 32 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 433920.

The previous prime is 967919. The next prime is 967931. The reversal of 967928 is 829769.

It is a super-2 number, since 2×967928² = 1873769226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

967928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 4151 + ... + 4377.

2⁹⁶⁷⁹²⁸ 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 967928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

967928 is an abundant number, since it is smaller than the sum of its proper divisors (1043032).

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

967928 is a wasteful number, since it uses less digits than its factorization.

967928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 967928 is about 983.8333192162. The cubic root of 967928 is about 98.9192961988.

The spelling of 967928 in words is "nine hundred sixty-seven thousand, nine hundred twenty-eight".