42928128 has 144 divisors (see below), whose sum is σ = 132235740. Its totient is φ = 13369344.

The previous prime is 42928121. The next prime is 42928129. The reversal of 42928128 is 82182924.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 1557504 = 6432^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42928092 and 42928101.

It is not an unprimeable number, because it can be changed into a prime (42928121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313276 + ... + 313412.

Almost surely, 2^42928128 is an apocalyptic number.

42928128 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 42928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66117870).

42928128 is an abundant number, since it is smaller than the sum of its proper divisors (89307612).

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

42928128 is a wasteful number, since it uses less digits than its factorization.

42928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 42928128 is about 6551.9560438086. The cubic root of 42928128 is about 350.1445063151.

The spelling of 42928128 in words is "forty-two million, nine hundred twenty-eight thousand, one hundred twenty-eight".