1288725280 has 24 divisors (see below), whose sum is σ = 3044613852. Its totient is φ = 515490048.

The previous prime is 1288725253. The next prime is 1288725311. The reversal of 1288725280 is 825278821.

It can be written as a sum of positive squares in 2 ways, for example, as 1164447376 + 124277904 = 34124^2 + 11148^2 .

It is a super-2 number, since 2×1288725280² = 3321625694622156800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4027107 + ... + 4027426.

Almost surely, 2^1288725280 is an apocalyptic number.

1288725280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288725280 is an abundant number, since it is smaller than the sum of its proper divisors (1755888572).

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

1288725280 is an equidigital number, since it uses as much as digits as its factorization.

1288725280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054548 (or 8054540 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 43.

The square root of 1288725280 is about 35898.8200363187. The cubic root of 1288725280 is about 1088.2285509624.

The spelling of 1288725280 in words is "one billion, two hundred eighty-eight million, seven hundred twenty-five thousand, two hundred eighty".