42065728 has 28 divisors (see below), whose sum is σ = 84490560. Its totient is φ = 20776832.

The previous prime is 42065669. The next prime is 42065741. The reversal of 42065728 is 82756024.

It is a junction number, because it is equal to n+sod(n) for n = 42065693 and 42065702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1353 + ... + 9271.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 2^42065728 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 42065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42245280).

42065728 is an abundant number, since it is smaller than the sum of its proper divisors (42424832).

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

42065728 is an equidigital number, since it uses as much as digits as its factorization.

42065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 42065728 is about 6485.8097412736. The cubic root of 42065728 is about 347.7838971871.

The spelling of 42065728 in words is "forty-two million, sixty-five thousand, seven hundred twenty-eight".