1285827312 has 120 divisors (see below), whose sum is σ = 4172871808. Its totient is φ = 333970560.

The previous prime is 1285827289. The next prime is 1285827341. The reversal of 1285827312 is 2137285821.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24843 + ... + 56469.

Almost surely, 2^1285827312 is an apocalyptic number.

1285827312 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 1285827312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086435904).

1285827312 is an abundant number, since it is smaller than the sum of its proper divisors (2887044496).

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

1285827312 is a wasteful number, since it uses less digits than its factorization.

1285827312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31667 (or 31650 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 1285827312 is about 35858.4343216488. The cubic root of 1285827312 is about 1087.4122356971.

The spelling of 1285827312 in words is "one billion, two hundred eighty-five million, eight hundred twenty-seven thousand, three hundred twelve".