1288396800 has 336 divisors, whose sum is σ = 4753691280. Its totient is φ = 342097920.

The previous prime is 1288396741. The next prime is 1288396829. The reversal of 1288396800 is 86938821.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529484 + ... + 5529716.

Almost surely, 2^1288396800 is an apocalyptic number.

1288396800 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 1288396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376845640).

1288396800 is an abundant number, since it is smaller than the sum of its proper divisors (3465294480).

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

1288396800 is an equidigital number, since it uses as much as digits as its factorization.

1288396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1288396800 is about 35894.2446640126. The cubic root of 1288396800 is about 1088.1360844776.

The spelling of 1288396800 in words is "one billion, two hundred eighty-eight million, three hundred ninety-six thousand, eight hundred".