311028080 has 160 divisors (see below), whose sum is σ = 836517888. Its totient is φ = 107331840.

The previous prime is 311028079. The next prime is 311028089. The reversal of 311028080 is 80820113.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311028089) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2448977 + ... + 2449103.

Almost surely, 2^311028080 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 311028080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418258944).

311028080 is an abundant number, since it is smaller than the sum of its proper divisors (525489808).

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

311028080 is a wasteful number, since it uses less digits than its factorization.

311028080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 311028080 is about 17635.9882059384. The cubic root of 311028080 is about 677.5372854759.

Adding to 311028080 its reverse (80820113), we get a palindrome (391848193).

The spelling of 311028080 in words is "three hundred eleven million, twenty-eight thousand, eighty".