1288480000 has 90 divisors (see below), whose sum is σ = 3214278914. Its totient is φ = 515328000.

The previous prime is 1288479991. The next prime is 1288480009. The reversal of 1288480000 is 848821.

It is an interprime number because it is at equal distance from previous prime (1288479991) and next prime (1288480009).

It can be written as a sum of positive squares in 5 ways, for example, as 330948864 + 957531136 = 18192^2 + 30944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288480009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 155974 + ... + 164026.

Almost surely, 2^1288480000 is an apocalyptic number.

1288480000 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 1288480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607139457).

1288480000 is an abundant number, since it is smaller than the sum of its proper divisors (1925798914).

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

1288480000 is an frugal number, since it uses more digits than its factorization.

1288480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8089 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1288480000 is about 35895.4036054757. The cubic root of 1288480000 is about 1088.1595066028.

The spelling of 1288480000 in words is "one billion, two hundred eighty-eight million, four hundred eighty thousand".