6442128 has 180 divisors, whose sum is σ = 23154768. Its totient is φ = 1653120.

The previous prime is 6442127. The next prime is 6442129. The reversal of 6442128 is 8212446.

6442128 is a `hidden beast` number, since 644 + 2 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6442127) and next prime (6442129).

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

It is not an unprimeable number, because it can be changed into a prime (6442123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77575 + ... + 77657.

Almost surely, 2^6442128 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 6442128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577384).

6442128 is an abundant number, since it is smaller than the sum of its proper divisors (16712640).

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

6442128 is a wasteful number, since it uses less digits than its factorization.

6442128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 6442128 is about 2538.1347481960. The cubic root of 6442128 is about 186.0700395264.

It can be divided in two parts, 644 and 2128, that added together give a palindrome (2772).

The spelling of 6442128 in words is "six million, four hundred forty-two thousand, one hundred twenty-eight".