1311928320 has 208 divisors, whose sum is σ = 4255650432. Its totient is φ = 345047040.

The previous prime is 1311928259. The next prime is 1311928327. The reversal of 1311928320 is 238291131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311928327) 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, 8048559 + ... + 8048721.

Almost surely, 2^1311928320 is an apocalyptic number.

1311928320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127825216).

1311928320 is an abundant number, since it is smaller than the sum of its proper divisors (2943722112).

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

1311928320 is a wasteful number, since it uses less digits than its factorization.

1311928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1311928320 is about 36220.5510725610. The cubic root of 1311928320 is about 1094.7207978548.

The spelling of 1311928320 in words is "one billion, three hundred eleven million, nine hundred twenty-eight thousand, three hundred twenty".