863872128 has 160 divisors (see below), whose sum is σ = 2938383360. Its totient is φ = 246799872.

The previous prime is 863872109. The next prime is 863872147. The reversal of 863872128 is 821278368.

863872128 is a `hidden beast` number, since 8 + 638 + 7 + 2 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (863872109) and next prime (863872147).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66625 + ... + 78527.

It is an arithmetic number, because the mean of its divisors is an integer number (18364896).

Almost surely, 2^863872128 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 863872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469191680).

863872128 is an abundant number, since it is smaller than the sum of its proper divisors (2074511232).

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

863872128 is a wasteful number, since it uses less digits than its factorization.

863872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936 (or 11915 counting only the distinct ones).

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

The square root of 863872128 is about 29391.7016860202. The cubic root of 863872128 is about 952.3936417916.

The spelling of 863872128 in words is "eight hundred sixty-three million, eight hundred seventy-two thousand, one hundred twenty-eight".