312728 has 32 divisors (see below), whose sum is σ = 658560. Its totient is φ = 138240.

The previous prime is 312727. The next prime is 312737. The reversal of 312728 is 827213.

It is an Ulam number.

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 312728.

It is not an unprimeable number, because it can be changed into a prime (312727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3176 + ... + 3272.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2³¹²⁷²⁸ 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 312728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329280).

312728 is an abundant number, since it is smaller than the sum of its proper divisors (345832).

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

312728 is a wasteful number, since it uses less digits than its factorization.

312728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 312728 is about 559.2208865913. The cubic root of 312728 is about 67.8769400619.

The spelling of 312728 in words is "three hundred twelve thousand, seven hundred twenty-eight".