1288323200 has 48 divisors (see below), whose sum is σ = 3182568810. Its totient is φ = 515328000.

The previous prime is 1288323193. The next prime is 1288323217. The reversal of 1288323200 is 23238821.

It can be written as a sum of positive squares in 3 ways, for example, as 1157632576 + 130690624 = 34024^2 + 11432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 198101 + ... + 204500.

Almost surely, 2^1288323200 is an apocalyptic number.

1288323200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288323200 is an abundant number, since it is smaller than the sum of its proper divisors (1894245610).

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

1288323200 is an equidigital number, since it uses as much as digits as its factorization.

1288323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402625 (or 402608 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1288323200 is about 35893.2194153715. The cubic root of 1288323200 is about 1088.1153640647.

It can be divided in two parts, 128 and 8323200, that multiplied together give a square (1065369600 = 32640²).

The spelling of 1288323200 in words is "one billion, two hundred eighty-eight million, three hundred twenty-three thousand, two hundred".