863728 has 20 divisors (see below), whose sum is σ = 1719880. Its totient is φ = 419904.

The previous prime is 863711. The next prime is 863729. The reversal of 863728 is 827368.

It is a happy number.

It is a d-powerful number, because it can be written as 8³ + 6³ + 7⁷ + 3⁸ + 2⁷ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 863693 and 863702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (85994).

2⁸⁶³⁷²⁸ is an apocalyptic number.

It is an amenable number.

863728 is a deficient number, since it is larger than the sum of its proper divisors (856152).

863728 is a wasteful number, since it uses less digits than its factorization.

863728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1498 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 863728 is about 929.3696788684. The cubic root of 863728 is about 95.2340673217.

It can be divided in two parts, 8 and 63728, that added together give a palindrome (63736).

The spelling of 863728 in words is "eight hundred sixty-three thousand, seven hundred twenty-eight".