42448128 has 72 divisors (see below), whose sum is σ = 118960800. Its totient is φ = 13400064.

The previous prime is 42448103. The next prime is 42448151. The reversal of 42448128 is 82184424.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13138 + ... + 16046.

Almost surely, 2^42448128 is an apocalyptic number.

42448128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59480400).

42448128 is an abundant number, since it is smaller than the sum of its proper divisors (76512672).

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

42448128 is a wasteful number, since it uses less digits than its factorization.

42448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2933 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 42448128 is about 6515.2227897440. Note that the first 3 decimals coincide. The cubic root of 42448128 is about 348.8345671771.

The spelling of 42448128 in words is "forty-two million, four hundred forty-eight thousand, one hundred twenty-eight".