311428488 has 64 divisors (see below), whose sum is σ = 893381760. Its totient is φ = 88621056.

The previous prime is 311428463. The next prime is 311428531. The reversal of 311428488 is 884824113.

It is a happy number.

It is a super-3 number, since 3×311428488³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39570 + ... + 46782.

It is an arithmetic number, because the mean of its divisors is an integer number (13959090).

Almost surely, 2^311428488 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 311428488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446690880).

311428488 is an abundant number, since it is smaller than the sum of its proper divisors (581953272).

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

311428488 is a wasteful number, since it uses less digits than its factorization.

311428488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7482 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 311428488 is about 17647.3365695790. The cubic root of 311428488 is about 677.8279076979.

The spelling of 311428488 in words is "three hundred eleven million, four hundred twenty-eight thousand, four hundred eighty-eight".