863928 has 72 divisors (see below), whose sum is σ = 2569320. Its totient is φ = 262080.

The previous prime is 863921. The next prime is 863959. The reversal of 863928 is 829368.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 863892 and 863901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863921) 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 17 ways as a sum of consecutive naturals, for example, 12133 + ... + 12203.

It is an arithmetic number, because the mean of its divisors is an integer number (35685).

2⁸⁶³⁹²⁸ 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 863928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284660).

863928 is an abundant number, since it is smaller than the sum of its proper divisors (1705392).

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

863928 is a wasteful number, since it uses less digits than its factorization.

863928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 863928 is about 929.4772724494. The cubic root of 863928 is about 95.2414173762.

It can be divided in two parts, 8 and 63928, that added together give a palindrome (63936).

The spelling of 863928 in words is "eight hundred sixty-three thousand, nine hundred twenty-eight".