1288673632 has 48 divisors (see below), whose sum is σ = 2675635200. Its totient is φ = 609275520.

The previous prime is 1288673621. The next prime is 1288673663. The reversal of 1288673632 is 2363768821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381969 + ... + 385327.

It is an arithmetic number, because the mean of its divisors is an integer number (55742400).

Almost surely, 2^1288673632 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 1288673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337817600).

1288673632 is an abundant number, since it is smaller than the sum of its proper divisors (1386961568).

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

1288673632 is a wasteful number, since it uses less digits than its factorization.

1288673632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4011 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 1288673632 is about 35898.1006739911. The cubic root of 1288673632 is about 1088.2140131914.

The spelling of 1288673632 in words is "one billion, two hundred eighty-eight million, six hundred seventy-three thousand, six hundred thirty-two".