828132 has 12 divisors (see below), whose sum is σ = 1932336. Its totient is φ = 276040.

The previous prime is 828131. The next prime is 828133. The reversal of 828132 is 231828.

It is an interprime number because it is at equal distance from previous prime (828131) and next prime (828133).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

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 3 ways as a sum of consecutive naturals, for example, 34494 + ... + 34517.

It is an arithmetic number, because the mean of its divisors is an integer number (161028).

2⁸²⁸¹³² is an apocalyptic number.

It is an amenable number.

828132 is an abundant number, since it is smaller than the sum of its proper divisors (1104204).

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

828132 is a wasteful number, since it uses less digits than its factorization.

828132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69018 (or 69016 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 828132 is about 910.0175822477. The cubic root of 828132 is about 93.9074084485.

The spelling of 828132 in words is "eight hundred twenty-eight thousand, one hundred thirty-two".