8191128 has 128 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 2217600.

The previous prime is 8191123. The next prime is 8191129. The reversal of 8191128 is 8211918.

8191128 is a nontrivial binomial coefficient, being equal to C(4048, 2).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8191095 and 8191104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8191123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115333 + ... + 115403.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 2^8191128 is an apocalyptic number.

8191128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

8191128 is the 4047-th triangular number and also the 2024-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8191128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

8191128 is an abundant number, since it is smaller than the sum of its proper divisors (16692072).

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

8191128 is a wasteful number, since it uses less digits than its factorization.

8191128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its digits is 1152, while the sum is 30.

The square root of 8191128 is about 2862.0146750148. The cubic root of 8191128 is about 201.5802150526.

The spelling of 8191128 in words is "eight million, one hundred ninety-one thousand, one hundred twenty-eight".