1287738432 has 112 divisors (see below), whose sum is σ = 3802075200. Its totient is φ = 427392000.

The previous prime is 1287738409. The next prime is 1287738451. The reversal of 1287738432 is 2348377821.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432244 + ... + 435212.

It is an arithmetic number, because the mean of its divisors is an integer number (33947100).

Almost surely, 2^1287738432 is an apocalyptic number.

1287738432 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 1287738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901037600).

1287738432 is an abundant number, since it is smaller than the sum of its proper divisors (2514336768).

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

1287738432 is a wasteful number, since it uses less digits than its factorization.

1287738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3225 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 1287738432 is about 35885.0725511319. The cubic root of 1287738432 is about 1087.9507078303.

The spelling of 1287738432 in words is "one billion, two hundred eighty-seven million, seven hundred thirty-eight thousand, four hundred thirty-two".