828940 has 48 divisors (see below), whose sum is σ = 2064384. Its totient is φ = 273600.

The previous prime is 828923. The next prime is 828941. The reversal of 828940 is 49828.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4245 + ... + 4435.

It is an arithmetic number, because the mean of its divisors is an integer number (43008).

2⁸²⁸⁹⁴⁰ 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 828940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032192).

828940 is an abundant number, since it is smaller than the sum of its proper divisors (1235444).

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

828940 is a wasteful number, since it uses less digits than its factorization.

828940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 828940 is about 910.4614214781. The cubic root of 828940 is about 93.9379400231.

The spelling of 828940 in words is "eight hundred twenty-eight thousand, nine hundred forty".