8872128 has 84 divisors (see below), whose sum is σ = 25900888. Its totient is φ = 2903040.

The previous prime is 8872121. The next prime is 8872133. The reversal of 8872128 is 8212788.

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

It is a junction number, because it is equal to n+sod(n) for n = 8872092 and 8872101.

It is not an unprimeable number, because it can be changed into a prime (8872121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41943 + ... + 42153.

Almost surely, 2^8872128 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 8872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950444).

8872128 is an abundant number, since it is smaller than the sum of its proper divisors (17028760).

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

8872128 is a wasteful number, since it uses less digits than its factorization.

8872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 8872128 is about 2978.6117571782. The cubic root of 8872128 is about 207.0185518625.

The spelling of 8872128 in words is "eight million, eight hundred seventy-two thousand, one hundred twenty-eight".