828138 has 32 divisors (see below), whose sum is σ = 1835136. Its totient is φ = 247808.

The previous prime is 828133. The next prime is 828169. The reversal of 828138 is 831828.

828138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828138.

It is not an unprimeable number, because it can be changed into a prime (828131) 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, 2170 + ... + 2522.

It is an arithmetic number, because the mean of its divisors is an integer number (57348).

2⁸²⁸¹³⁸ is an apocalyptic number.

828138 is an abundant number, since it is smaller than the sum of its proper divisors (1006998).

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

828138 is a wasteful number, since it uses less digits than its factorization.

828138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398.

The product of its digits is 3072, while the sum is 30.

The square root of 828138 is about 910.0208788814. The cubic root of 828138 is about 93.9076352413.

The spelling of 828138 in words is "eight hundred twenty-eight thousand, one hundred thirty-eight".