828048 has 40 divisors (see below), whose sum is σ = 2305408. Its totient is φ = 254592.

The previous prime is 828043. The next prime is 828059. The reversal of 828048 is 840828.

It is a zygodrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828048.

It is not an unprimeable number, because it can be changed into a prime (828043) by changing a digit.

828048 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, 40 + ... + 1287.

2⁸²⁸⁰⁴⁸ 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 828048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152704).

828048 is an abundant number, since it is smaller than the sum of its proper divisors (1477360).

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

828048 is a wasteful number, since it uses less digits than its factorization.

828048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 828048 is about 909.9714281229. The cubic root of 828048 is about 93.9042332345.

The spelling of 828048 in words is "eight hundred twenty-eight thousand, forty-eight".