1288520304 has 80 divisors (see below), whose sum is σ = 3531559680. Its totient is φ = 403430400.

The previous prime is 1288520279. The next prime is 1288520309. The reversal of 1288520304 is 4030258821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288520309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 503829 + ... + 506379.

It is an arithmetic number, because the mean of its divisors is an integer number (44144496).

Almost surely, 2^1288520304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288520304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765779840).

1288520304 is an abundant number, since it is smaller than the sum of its proper divisors (2243039376).

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

1288520304 is a wasteful number, since it uses less digits than its factorization.

1288520304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1288520304 is about 35895.9650100119. The cubic root of 1288520304 is about 1088.1708524583.

The spelling of 1288520304 in words is "one billion, two hundred eighty-eight million, five hundred twenty thousand, three hundred four".