366828 has 48 divisors (see below), whose sum is σ = 1069824. Its totient is φ = 95040.

The previous prime is 366811. The next prime is 366829. The reversal of 366828 is 828663.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366828.

It is not an unprimeable number, because it can be changed into a prime (366829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726 + ... + 1122.

It is an arithmetic number, because the mean of its divisors is an integer number (22288).

2³⁶⁶⁸²⁸ 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 366828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534912).

366828 is an abundant number, since it is smaller than the sum of its proper divisors (702996).

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

366828 is a wasteful number, since it uses less digits than its factorization.

366828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 366828 is about 605.6632727845. The cubic root of 366828 is about 71.5848016595.

The spelling of 366828 in words is "three hundred sixty-six thousand, eight hundred twenty-eight".