369828 has 18 divisors (see below), whose sum is σ = 934934. Its totient is φ = 123264.

The previous prime is 369827. The next prime is 369829. The reversal of 369828 is 828963.

It is an interprime number because it is at equal distance from previous prime (369827) and next prime (369829).

It can be written as a sum of positive squares in only one way, i.e., 272484 + 97344 = 522^2 + 312^2 .

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 (36), and also a Moran number because the ratio is a prime number: 10273 = 369828 / (3 + 6 + 9 + 8 + 2 + 8).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 369792 and 369801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369828.

It is not an unprimeable number, because it can be changed into a prime (369821) 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, 5101 + ... + 5172.

2³⁶⁹⁸²⁸ is an apocalyptic number.

It is an amenable number.

369828 is an abundant number, since it is smaller than the sum of its proper divisors (565106).

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

369828 is a wasteful number, since it uses less digits than its factorization.

369828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10278 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 369828 is about 608.1348534659. The cubic root of 369828 is about 71.7794174960.

The spelling of 369828 in words is "three hundred sixty-nine thousand, eight hundred twenty-eight".