42108928 has 48 divisors (see below), whose sum is σ = 87223500. Its totient is φ = 20299776.

The previous prime is 42108919. The next prime is 42108967. The reversal of 42108928 is 82980124.

It can be written as a sum of positive squares in 2 ways, for example, as 40551424 + 1557504 = 6368^2 + 1248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42108893 and 42108902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59038 + ... + 59746.

Almost surely, 2^42108928 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 42108928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43611750).

42108928 is an abundant number, since it is smaller than the sum of its proper divisors (45114572).

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

42108928 is an equidigital number, since it uses as much as digits as its factorization.

42108928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 42108928 is about 6489.1392341358. The cubic root of 42108928 is about 347.9029103353.

The spelling of 42108928 in words is "forty-two million, one hundred eight thousand, nine hundred twenty-eight".