828002 has 32 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 329280.

The previous prime is 827989. The next prime is 828007. The reversal of 828002 is 200828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828007) by changing a digit.

828002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11627 + ... + 11697.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁸²⁸⁰⁰² is an apocalyptic number.

828002 is a deficient number, since it is larger than the sum of its proper divisors (727198).

828002 is a wasteful number, since it uses less digits than its factorization.

828002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 828002 is about 909.9461522530. The cubic root of 828002 is about 93.9024943358.

It can be divided in two parts, 82800 and 2, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 828002 in words is "eight hundred twenty-eight thousand, two".