1288320792 has 64 divisors (see below), whose sum is σ = 3720297600. Its totient is φ = 367434240.

The previous prime is 1288320791. The next prime is 1288320881. The reversal of 1288320792 is 2970238821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288320791) 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, 139042 + ... + 148017.

It is an arithmetic number, because the mean of its divisors is an integer number (58129650).

Almost surely, 2^1288320792 is an apocalyptic number.

1288320792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1288320792 is an abundant number, since it is smaller than the sum of its proper divisors (2431976808).

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

1288320792 is a wasteful number, since it uses less digits than its factorization.

1288320792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287096 (or 287092 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1288320792 is about 35893.1858714158. The cubic root of 1288320792 is about 1088.1146861335.

The spelling of 1288320792 in words is "one billion, two hundred eighty-eight million, three hundred twenty thousand, seven hundred ninety-two".