828256 has 48 divisors (see below), whose sum is σ = 1926288. Its totient is φ = 345600.

The previous prime is 828239. The next prime is 828277. The reversal of 828256 is 652828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4486 + ... + 4666.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2⁸²⁸²⁵⁶ 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 828256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963144).

828256 is an abundant number, since it is smaller than the sum of its proper divisors (1098032).

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

828256 is a wasteful number, since it uses less digits than its factorization.

828256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 828256 is about 910.0857102493. The cubic root of 828256 is about 93.9120952768.

It can be divided in two parts, 8282 and 56, that added together give a palindrome (8338).

The spelling of 828256 in words is "eight hundred twenty-eight thousand, two hundred fifty-six".