1288698768 has 320 divisors, whose sum is σ = 4456857600. Its totient is φ = 348779520.

The previous prime is 1288698751. The next prime is 1288698773. The reversal of 1288698768 is 8678968821.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 5530780 + ... + 5531012.

It is an arithmetic number, because the mean of its divisors is an integer number (13927680).

Almost surely, 2^1288698768 is an apocalyptic number.

1288698768 is a gapful number since it is divisible by the number (18) 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 1288698768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228428800).

1288698768 is an abundant number, since it is smaller than the sum of its proper divisors (3168158832).

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

1288698768 is a wasteful number, since it uses less digits than its factorization.

1288698768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The square root of 1288698768 is about 35898.4507743719. The cubic root of 1288698768 is about 1088.2210884686.

The spelling of 1288698768 in words is "one billion, two hundred eighty-eight million, six hundred ninety-eight thousand, seven hundred sixty-eight".