1288578816 has 216 divisors, whose sum is σ = 4290846560. Its totient is φ = 364290048.

The previous prime is 1288578799. The next prime is 1288578817. The reversal of 1288578816 is 6188758821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288578817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1757586 + ... + 1758318.

Almost surely, 2^1288578816 is an apocalyptic number.

1288578816 is a gapful number since it is divisible by the number (16) 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 1288578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145423280).

1288578816 is an abundant number, since it is smaller than the sum of its proper divisors (3002267744).

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

1288578816 is a wasteful number, since it uses less digits than its factorization.

1288578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 854 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 54.

The square root of 1288578816 is about 35896.7800227263. The cubic root of 1288578816 is about 1088.1873235709.

The spelling of 1288578816 in words is "one billion, two hundred eighty-eight million, five hundred seventy-eight thousand, eight hundred sixteen".