1288793000 has 64 divisors (see below), whose sum is σ = 3289965120. Its totient is φ = 468648000.

The previous prime is 1288792979. The next prime is 1288793081. The reversal of 1288793000 is 3978821.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47582 + ... + 69581.

It is an arithmetic number, because the mean of its divisors is an integer number (51405705).

Almost surely, 2^1288793000 is an apocalyptic number.

1288793000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288793000 is an abundant number, since it is smaller than the sum of its proper divisors (2001172120).

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

1288793000 is a wasteful number, since it uses less digits than its factorization.

1288793000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117195 (or 117181 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 1288793000 is about 35899.7632304170. The cubic root of 1288793000 is about 1088.2476120578.

The spelling of 1288793000 in words is "one billion, two hundred eighty-eight million, seven hundred ninety-three thousand".