1288180320 has 384 divisors, whose sum is σ = 4923555840. Its totient is φ = 276756480.

The previous prime is 1288180307. The next prime is 1288180331. The reversal of 1288180320 is 230818821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6105015 + ... + 6105225.

It is an arithmetic number, because the mean of its divisors is an integer number (12821760).

Almost surely, 2^1288180320 is an apocalyptic number.

1288180320 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 1288180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461777920).

1288180320 is an abundant number, since it is smaller than the sum of its proper divisors (3635375520).

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

1288180320 is a wasteful number, since it uses less digits than its factorization.

1288180320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1288180320 is about 35891.2290121138. The cubic root of 1288180320 is about 1088.0751371840.

The spelling of 1288180320 in words is "one billion, two hundred eighty-eight million, one hundred eighty thousand, three hundred twenty".