1288704000 has 208 divisors, whose sum is σ = 4293394560. Its totient is φ = 343244800.

The previous prime is 1288703993. The next prime is 1288704037. The reversal of 1288704000 is 4078821.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535581 + ... + 1536419.

It is an arithmetic number, because the mean of its divisors is an integer number (20641320).

Almost surely, 2^1288704000 is an apocalyptic number.

1288704000 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 1288704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146697280).

1288704000 is an abundant number, since it is smaller than the sum of its proper divisors (3004690560).

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

1288704000 is an frugal number, since it uses more digits than its factorization.

1288704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1288704000 is about 35898.5236465234. The cubic root of 1288704000 is about 1088.2225611595. Note that the first 3 decimals are identical.

It can be divided in two parts, 128870 and 4000, that added together give a triangular number (132870 = T₅₁₅).

The spelling of 1288704000 in words is "one billion, two hundred eighty-eight million, seven hundred four thousand".