321147828 has 60 divisors (see below), whose sum is σ = 843205440. Its totient is φ = 107023032.

The previous prime is 321147811. The next prime is 321147863. The reversal of 321147828 is 828741123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321147792 and 321147801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76693 + ... + 80771.

It is an arithmetic number, because the mean of its divisors is an integer number (14053424).

Almost surely, 2^321147828 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 321147828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421602720).

321147828 is an abundant number, since it is smaller than the sum of its proper divisors (522057612).

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

321147828 is an frugal number, since it uses more digits than its factorization.

321147828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4084 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 321147828 is about 17920.5978694909. The cubic root of 321147828 is about 684.8072187358.

The spelling of 321147828 in words is "three hundred twenty-one million, one hundred forty-seven thousand, eight hundred twenty-eight".