1288084800 has 168 divisors, whose sum is σ = 4261282816. Its totient is φ = 340623360.

The previous prime is 1288084799. The next prime is 1288084817. The reversal of 1288084800 is 84808821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608544 + ... + 610656.

Almost surely, 2^1288084800 is an apocalyptic number.

1288084800 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 1288084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130641408).

1288084800 is an abundant number, since it is smaller than the sum of its proper divisors (2973198016).

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

1288084800 is a wasteful number, since it uses less digits than its factorization.

1288084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 1288084800 is about 35889.8983002181. The cubic root of 1288084800 is about 1088.0482425264.

The spelling of 1288084800 in words is "one billion, two hundred eighty-eight million, eighty-four thousand, eight hundred".