1288880000 has 80 divisors (see below), whose sum is σ = 3208785360. Its totient is φ = 515520000.

The previous prime is 1288879987. The next prime is 1288880011. The reversal of 1288880000 is 888821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1288880000² = 3322423308800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 71945 + ... + 88055.

It is an arithmetic number, because the mean of its divisors is an integer number (40109817).

Almost surely, 2^1288880000 is an apocalyptic number.

1288880000 is a gapful number since it is divisible by the number (10) 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 1288880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604392680).

1288880000 is an abundant number, since it is smaller than the sum of its proper divisors (1919905360).

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

1288880000 is an frugal number, since it uses more digits than its factorization.

1288880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16145 (or 16118 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 1288880000 is about 35900.9749171245. The cubic root of 1288880000 is about 1088.2720988999.

The spelling of 1288880000 in words is "one billion, two hundred eighty-eight million, eight hundred eighty thousand".