828112 has 20 divisors (see below), whose sum is σ = 1628740. Its totient is φ = 407808.

The previous prime is 828109. The next prime is 828119. The reversal of 828112 is 211828.

It can be written as a sum of positive squares in 2 ways, for example, as 274576 + 553536 = 524^2 + 744^2 .

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828119) 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, 814 + ... + 1522.

It is an arithmetic number, because the mean of its divisors is an integer number (81437).

2⁸²⁸¹¹² is an apocalyptic number.

It is an amenable number.

828112 is a deficient number, since it is larger than the sum of its proper divisors (800628).

828112 is a wasteful number, since it uses less digits than its factorization.

828112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

The square root of 828112 is about 910.0065933827. The cubic root of 828112 is about 93.9066524646.

The spelling of 828112 in words is "eight hundred twenty-eight thousand, one hundred twelve".