966828 has 48 divisors (see below), whose sum is σ = 2451456. Its totient is φ = 295680.

The previous prime is 966817. The next prime is 966863. The reversal of 966828 is 828669.

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, 8500 + ... + 8612.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁹⁶⁶⁸²⁸ 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 966828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225728).

966828 is an abundant number, since it is smaller than the sum of its proper divisors (1484628).

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

966828 is a wasteful number, since it uses less digits than its factorization.

966828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 966828 is about 983.2741225111. The cubic root of 966828 is about 98.8818097772.

The spelling of 966828 in words is "nine hundred sixty-six thousand, eight hundred twenty-eight".