1288996800 has 504 divisors, whose sum is σ = 5256556416. Its totient is φ = 270766080.

The previous prime is 1288996799. The next prime is 1288996801. The reversal of 1288996800 is 86998821.

It is an interprime number because it is at equal distance from previous prime (1288996799) and next prime (1288996801).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288996801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5678287 + ... + 5678513.

Almost surely, 2^1288996800 is an apocalyptic number.

1288996800 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 1288996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628278208).

1288996800 is an abundant number, since it is smaller than the sum of its proper divisors (3967559616).

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

1288996800 is a wasteful number, since it uses less digits than its factorization.

1288996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 1288996800 is about 35902.6015770445. The cubic root of 1288996800 is about 1088.3049714563.

The spelling of 1288996800 in words is "one billion, two hundred eighty-eight million, nine hundred ninety-six thousand, eight hundred".