42288128 has 44 divisors (see below), whose sum is σ = 86047692. Its totient is φ = 20766720.

The previous prime is 42288121. The next prime is 42288143. The reversal of 42288128 is 82188224.

It can be written as a sum of positive squares in 2 ways, for example, as 23348224 + 18939904 = 4832^2 + 4352^2 .

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 (42288121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62126 + ... + 62802.

Almost surely, 2^42288128 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 42288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43023846).

42288128 is an abundant number, since it is smaller than the sum of its proper divisors (43759564).

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

42288128 is an equidigital number, since it uses as much as digits as its factorization.

42288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 740 counting only the distinct ones).

The product of its digits is 16384, while the sum is 35.

The square root of 42288128 is about 6502.9322616801. The cubic root of 42288128 is about 348.3957272196.

The spelling of 42288128 in words is "forty-two million, two hundred eighty-eight thousand, one hundred twenty-eight".