828768 has 48 divisors (see below), whose sum is σ = 2222640. Its totient is φ = 270336.

The previous prime is 828757. The next prime is 828787. The reversal of 828768 is 867828.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828768.

It is an unprimeable number.

828768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8496 + ... + 8592.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

2⁸²⁸⁷⁶⁸ 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 828768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111320).

828768 is an abundant number, since it is smaller than the sum of its proper divisors (1393872).

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

828768 is a wasteful number, since it uses less digits than its factorization.

828768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 828768 is about 910.3669589786. The cubic root of 828768 is about 93.9314423903.

Subtracting 828768 from its reverse (867828), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 828 and 768, that added together give a triangular number (1596 = T₅₆).

The spelling of 828768 in words is "eight hundred twenty-eight thousand, seven hundred sixty-eight".