1285872384 has 144 divisors (see below), whose sum is σ = 3653445600. Its totient is φ = 400097280.

The previous prime is 1285872353. The next prime is 1285872391. The reversal of 1285872384 is 4832785821.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1945014 + ... + 1945674.

It is an arithmetic number, because the mean of its divisors is an integer number (25371150).

Almost surely, 2^1285872384 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 1285872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826722800).

1285872384 is an abundant number, since it is smaller than the sum of its proper divisors (2367573216).

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

1285872384 is a wasteful number, since it uses less digits than its factorization.

1285872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 832 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 1285872384 is about 35859.0627875297. The cubic root of 1285872384 is about 1087.4249412062.

The spelling of 1285872384 in words is "one billion, two hundred eighty-five million, eight hundred seventy-two thousand, three hundred eighty-four".