828096 has 56 divisors (see below), whose sum is σ = 2316480. Its totient is φ = 260352.

The previous prime is 828071. The next prime is 828101. The reversal of 828096 is 690828.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

828096 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3535 + ... + 3761.

2⁸²⁸⁰⁹⁶ 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 828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158240).

828096 is an abundant number, since it is smaller than the sum of its proper divisors (1488384).

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

828096 is a wasteful number, since it uses less digits than its factorization.

828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 828096 is about 909.9978021951. The cubic root of 828096 is about 93.9060476688.

The spelling of 828096 in words is "eight hundred twenty-eight thousand, ninety-six".