828 has 18 divisors (see below), whose sum is σ = 2184. Its totient is φ = 264.

The previous prime is 827. The next prime is 829.

It can be divided in two parts, 82 and 8, that multiplied together give a palindrome (656).

828 is nontrivially palindromic in base 10 and base 15.

828 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (827) and next prime (829).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

828 is an undulating number in base 10 and base 15.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a self number, because there is not a number *n* which added to its sum of digits gives 828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25 + ... + 47.

2^{828} 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 828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092).

828 is an abundant number, since it is smaller than the sum of its proper divisors (1356).

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

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

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

The sum of its prime factors is 33 (or 28 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 828 is about 28.7749891399. The cubic root of 828 is about 9.3902418730.

The spelling of 828 in words is "eight hundred twenty-eight", and thus it is an aban number and an oban number.

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