1288096992 has 480 divisors, whose sum is σ = 4808466432. Its totient is φ = 329204736.

The previous prime is 1288096961. The next prime is 1288097011. The reversal of 1288096992 is 2996908821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10142433 + ... + 10142559.

Almost surely, 2^1288096992 is an apocalyptic number.

1288096992 is a gapful number since it is divisible by the number (12) 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 1288096992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404233216).

1288096992 is an abundant number, since it is smaller than the sum of its proper divisors (3520369440).

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

1288096992 is a wasteful number, since it uses less digits than its factorization.

1288096992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1288096992 is about 35890.0681526241. The cubic root of 1288096992 is about 1088.0516753859.

The spelling of 1288096992 in words is "one billion, two hundred eighty-eight million, ninety-six thousand, nine hundred ninety-two".