306828 has 30 divisors (see below), whose sum is σ = 802956. Its totient is φ = 102168.

The previous prime is 306827. The next prime is 306829. The reversal of 306828 is 828603.

It is an interprime number because it is at equal distance from previous prime (306827) and next prime (306829).

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

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306828.

It is not an unprimeable number, because it can be changed into a prime (306821) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 150 + ... + 797.

2³⁰⁶⁸²⁸ is an apocalyptic number.

It is an amenable number.

306828 is an abundant number, since it is smaller than the sum of its proper divisors (496128).

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

306828 is a wasteful number, since it uses less digits than its factorization.

306828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 952 counting only the distinct ones).

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

The square root of 306828 is about 553.9205719234. The cubic root of 306828 is about 67.4473663766.

The spelling of 306828 in words is "three hundred six thousand, eight hundred twenty-eight".