311928 has 32 divisors (see below), whose sum is σ = 801360. Its totient is φ = 101120.

The previous prime is 311897. The next prime is 311951. The reversal of 311928 is 829113.

311928 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 311898 and 311907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826 + ... + 1142.

2³¹¹⁹²⁸ 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 311928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400680).

311928 is an abundant number, since it is smaller than the sum of its proper divisors (489432).

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

311928 is a wasteful number, since it uses less digits than its factorization.

311928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 311928 is about 558.5051476934. The cubic root of 311928 is about 67.8190112105.

The spelling of 311928 in words is "three hundred eleven thousand, nine hundred twenty-eight".