8332128 has 72 divisors (see below), whose sum is σ = 27085968. Its totient is φ = 2380032.

The previous prime is 8332111. The next prime is 8332133. The reversal of 8332128 is 8212338.

8332128 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

8332128 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 4082.

It is an arithmetic number, because the mean of its divisors is an integer number (376194).

Almost surely, 2^8332128 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 8332128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542984).

8332128 is an abundant number, since it is smaller than the sum of its proper divisors (18753840).

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

8332128 is a wasteful number, since it uses less digits than its factorization.

8332128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4145 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8332128 is about 2886.5425685411. The cubic root of 8332128 is about 202.7302912734.

The spelling of 8332128 in words is "eight million, three hundred thirty-two thousand, one hundred twenty-eight".