828448 has 12 divisors (see below), whose sum is σ = 1631070. Its totient is φ = 414208.

The previous prime is 828431. The next prime is 828449. The reversal of 828448 is 844828.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 327184 = 708^2 + 572^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (828449) by changing a digit.

828448 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 as a sum of consecutive naturals, namely, 12913 + ... + 12976.

2⁸²⁸⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

828448 is a deficient number, since it is larger than the sum of its proper divisors (802622).

828448 is a wasteful number, since it uses less digits than its factorization.

828448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25899 (or 25891 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 828448 is about 910.1911887071. The cubic root of 828448 is about 93.9193513785.

The spelling of 828448 in words is "eight hundred twenty-eight thousand, four hundred forty-eight".