1288580832 has 288 divisors, whose sum is σ = 4771146240. Its totient is φ = 334575360.

The previous prime is 1288580831. The next prime is 1288580879. The reversal of 1288580832 is 2380858821.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288580831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464313 + ... + 467079.

It is an arithmetic number, because the mean of its divisors is an integer number (16566480).

Almost surely, 2^1288580832 is an apocalyptic number.

1288580832 is a gapful number since it is divisible by the number (12) 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 1288580832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385573120).

1288580832 is an abundant number, since it is smaller than the sum of its proper divisors (3482565408).

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

1288580832 is a wasteful number, since it uses less digits than its factorization.

1288580832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1288580832 is about 35896.8081032283. The cubic root of 1288580832 is about 1088.1878910655.

The spelling of 1288580832 in words is "one billion, two hundred eighty-eight million, five hundred eighty thousand, eight hundred thirty-two".