1288509072 has 40 divisors (see below), whose sum is σ = 3331911744. Its totient is φ = 429081984.

The previous prime is 1288509043. The next prime is 1288509077. The reversal of 1288509072 is 2709058821.

It is not an unprimeable number, because it can be changed into a prime (1288509077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38398 + ... + 63650.

Almost surely, 2^1288509072 is an apocalyptic number.

1288509072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1288509072 is an abundant number, since it is smaller than the sum of its proper divisors (2043402672).

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

1288509072 is a wasteful number, since it uses less digits than its factorization.

1288509072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26327 (or 26321 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1288509072 is about 35895.8085575461. The cubic root of 1288509072 is about 1088.1676905962.

The spelling of 1288509072 in words is "one billion, two hundred eighty-eight million, five hundred nine thousand, seventy-two".