863834328 has 192 divisors, whose sum is σ = 2956111200. Its totient is φ = 232243200.

The previous prime is 863834327. The next prime is 863834329. The reversal of 863834328 is 823438368.

863834328 is a `hidden beast` number, since 8 + 638 + 3 + 4 + 3 + 2 + 8 = 666.

863834328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (863834327) and next prime (863834329).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863834327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177528 + ... + 182328.

Almost surely, 2^863834328 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 863834328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478055600).

863834328 is an abundant number, since it is smaller than the sum of its proper divisors (2092276872).

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

863834328 is a wasteful number, since it uses less digits than its factorization.

863834328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4830 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 863834328 is about 29391.0586403416. The cubic root of 863834328 is about 952.3797504591.

The spelling of 863834328 in words is "eight hundred sixty-three million, eight hundred thirty-four thousand, three hundred twenty-eight".