1311828280 has 128 divisors (see below), whose sum is σ = 3489454080. Its totient is φ = 434534400.

The previous prime is 1311828277. The next prime is 1311828283. The reversal of 1311828280 is 828281131.

It is an interprime number because it is at equal distance from previous prime (1311828277) and next prime (1311828283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311828283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091680 + ... + 1092880.

It is an arithmetic number, because the mean of its divisors is an integer number (27261360).

Almost surely, 2^1311828280 is an apocalyptic number.

1311828280 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 1311828280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744727040).

1311828280 is an abundant number, since it is smaller than the sum of its proper divisors (2177625800).

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

1311828280 is a wasteful number, since it uses less digits than its factorization.

1311828280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 1311828280 is about 36219.1700622750. The cubic root of 1311828280 is about 1094.6929714736.

The spelling of 1311828280 in words is "one billion, three hundred eleven million, eight hundred twenty-eight thousand, two hundred eighty".