8128128 has 64 divisors (see below), whose sum is σ = 22007520. Its totient is φ = 2657280.

The previous prime is 8128117. The next prime is 8128129. The reversal of 8128128 is 8218218.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 8128095 and 8128104.

It is not an unprimeable number, because it can be changed into a prime (8128129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23251 + ... + 23597.

Almost surely, 2^8128128 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 8128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003760).

8128128 is an abundant number, since it is smaller than the sum of its proper divisors (13879392).

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

8128128 is a wasteful number, since it uses less digits than its factorization.

8128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 8128128 is about 2850.9871974458. The cubic root of 8128128 is about 201.0620832455.

It can be divided in two parts, 8128 and 128, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 8128128 in words is "eight million, one hundred twenty-eight thousand, one hundred twenty-eight".