828340 has 24 divisors (see below), whose sum is σ = 1764000. Its totient is φ = 326688.

The previous prime is 828277. The next prime is 828349. The reversal of 828340 is 43828.

828340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×828340² = 1372294311200, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1411 + ... + 1909.

It is an arithmetic number, because the mean of its divisors is an integer number (73500).

2⁸²⁸³⁴⁰ is an apocalyptic number.

It is an amenable number.

828340 is an abundant number, since it is smaller than the sum of its proper divisors (935660).

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

828340 is a wasteful number, since it uses less digits than its factorization.

828340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 828340 is about 910.1318585787. The cubic root of 828340 is about 93.9152699592.

The spelling of 828340 in words is "eight hundred twenty-eight thousand, three hundred forty".