363828 has 12 divisors (see below), whose sum is σ = 848960. Its totient is φ = 121272.

The previous prime is 363809. The next prime is 363829. The reversal of 363828 is 828363.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 363795 and 363804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363829) 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, 15148 + ... + 15171.

2³⁶³⁸²⁸ is an apocalyptic number.

It is an amenable number.

363828 is an abundant number, since it is smaller than the sum of its proper divisors (485132).

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

363828 is a wasteful number, since it uses less digits than its factorization.

363828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30326 (or 30324 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 363828 is about 603.1815647050. The cubic root of 363828 is about 71.3891218353.

The spelling of 363828 in words is "three hundred sixty-three thousand, eight hundred twenty-eight".