863281728 has 84 divisors (see below), whose sum is σ = 2498636608. Its totient is φ = 284947200.

The previous prime is 863281703. The next prime is 863281729. The reversal of 863281728 is 827182368.

863281728 is a `hidden beast` number, since 8 + 632 + 8 + 1 + 7 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (863281729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52053 + ... + 66603.

Almost surely, 2^863281728 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 863281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249318304).

863281728 is an abundant number, since it is smaller than the sum of its proper divisors (1635354880).

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

863281728 is a wasteful number, since it uses less digits than its factorization.

863281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14672 (or 14659 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 863281728 is about 29381.6563181860. The cubic root of 863281728 is about 952.1766261271.

The spelling of 863281728 in words is "eight hundred sixty-three million, two hundred eighty-one thousand, seven hundred twenty-eight".