828440 has 32 divisors (see below), whose sum is σ = 1890000. Its totient is φ = 326784.

The previous prime is 828431. The next prime is 828449. The reversal of 828440 is 44828.

828440 = 220² + 221² + ... + 235².

It is an interprime number because it is at equal distance from previous prime (828431) and next prime (828449).

It is a congruent number.

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

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, 5486 + ... + 5634.

2⁸²⁸⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

828440 is an abundant number, since it is smaller than the sum of its proper divisors (1061560).

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

828440 is a wasteful number, since it uses less digits than its factorization.

828440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 828440 is about 910.1867940154. The cubic root of 828440 is about 93.9190490633.

The spelling of 828440 in words is "eight hundred twenty-eight thousand, four hundred forty".