300828 has 48 divisors (see below), whose sum is σ = 798336. Its totient is φ = 87360.

The previous prime is 300823. The next prime is 300851. The reversal of 300828 is 828003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300821) by changing a digit.

300828 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, 5650 + ... + 5702.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2³⁰⁰⁸²⁸ 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 300828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168).

300828 is an abundant number, since it is smaller than the sum of its proper divisors (497508).

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

300828 is a wasteful number, since it uses less digits than its factorization.

300828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 300828 is about 548.4778938116. The cubic root of 300828 is about 67.0048262655.

It can be divided in two parts, 300 and 828, that added together give a triangular number (1128 = T₄₇).

The spelling of 300828 in words is "three hundred thousand, eight hundred twenty-eight".