312828 has 24 divisors (see below), whose sum is σ = 739200. Its totient is φ = 102960.

The previous prime is 312799. The next prime is 312839. The reversal of 312828 is 828213.

It is a super-2 number, since 2×312828² = 195722715168, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3¹¹ + 1 + 8³ + 2¹⁶ + 2¹⁶ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 312798 and 312807.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1473 + ... + 1671.

It is an arithmetic number, because the mean of its divisors is an integer number (30800).

2³¹²⁸²⁸ is an apocalyptic number.

It is an amenable number.

312828 is an abundant number, since it is smaller than the sum of its proper divisors (426372).

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

312828 is a wasteful number, since it uses less digits than its factorization.

312828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 312828 is about 559.3102895531. The cubic root of 312828 is about 67.8841742192.

The spelling of 312828 in words is "three hundred twelve thousand, eight hundred twenty-eight".