1288016800 has 72 divisors (see below), whose sum is σ = 3593582496. Its totient is φ = 441603840.

The previous prime is 1288016789. The next prime is 1288016833. The reversal of 1288016800 is 86108821.

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 11 ways as a sum of consecutive naturals, for example, 109402 + ... + 120601.

It is an arithmetic number, because the mean of its divisors is an integer number (49910868).

Almost surely, 2^1288016800 is an apocalyptic number.

1288016800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288016800 is an abundant number, since it is smaller than the sum of its proper divisors (2305565696).

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

1288016800 is a wasteful number, since it uses less digits than its factorization.

1288016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230030 (or 230017 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 1288016800 is about 35888.9509459388. The cubic root of 1288016800 is about 1088.0290956031.

The spelling of 1288016800 in words is "one billion, two hundred eighty-eight million, sixteen thousand, eight hundred".