1288908800 has 156 divisors (see below), whose sum is σ = 3284722056. Its totient is φ = 501350400.

The previous prime is 1288908787. The next prime is 1288908809. The reversal of 1288908800 is 88098821.

It is a super-2 number, since 2×1288908800² = 3322571789434880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1288908809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4198247 + ... + 4198553.

Almost surely, 2^1288908800 is an apocalyptic number.

1288908800 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 1288908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642361028).

1288908800 is an abundant number, since it is smaller than the sum of its proper divisors (1995813256).

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

1288908800 is an equidigital number, since it uses as much as digits as its factorization.

1288908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 44.

The square root of 1288908800 is about 35901.3760181974. The cubic root of 1288908800 is about 1088.2802046462.

The spelling of 1288908800 in words is "one billion, two hundred eighty-eight million, nine hundred eight thousand, eight hundred".