36828 has 48 divisors (see below), whose sum is σ = 107520. Its totient is φ = 10800.

The previous prime is 36821. The next prime is 36833. The reversal of 36828 is 82863.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36828.

It is not an unprimeable number, because it can be changed into a prime (36821) by changing a digit.

36828 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, 1173 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

2³⁶⁸²⁸ 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 36828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760).

36828 is an abundant number, since it is smaller than the sum of its proper divisors (70692).

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

36828 is a wasteful number, since it uses less digits than its factorization.

36828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 47 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 36828 is about 191.9062271006. The cubic root of 36828 is about 33.2705038704.

Multiplying 36828 by its reverse (82863), we get a square (3051678564 = 55242²).

The spelling of 36828 in words is "thirty-six thousand, eight hundred twenty-eight".