312829728 has 96 divisors (see below), whose sum is σ = 854582400. Its totient is φ = 100079616.

The previous prime is 312829723. The next prime is 312829771. The reversal of 312829728 is 827928213.

It is a happy number.

312829728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 312829728.

It is not an unprimeable number, because it can be changed into a prime (312829723) 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, 871213 + ... + 871571.

It is an arithmetic number, because the mean of its divisors is an integer number (8901900).

Almost surely, 2^312829728 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 312829728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427291200).

312829728 is an abundant number, since it is smaller than the sum of its proper divisors (541752672).

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

312829728 is a wasteful number, since it uses less digits than its factorization.

312829728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 312829728 is about 17686.9931870852. The cubic root of 312829728 is about 678.8429921192.

The spelling of 312829728 in words is "three hundred twelve million, eight hundred twenty-nine thousand, seven hundred twenty-eight".