42566528 has 32 divisors (see below), whose sum is σ = 86879520. Its totient is φ = 20761600.

The previous prime is 42566527. The next prime is 42566567. The reversal of 42566528 is 82566524.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 42566491 and 42566500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42566527) 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, 1193 + ... + 9303.

It is an arithmetic number, because the mean of its divisors is an integer number (2714985).

Almost surely, 2^42566528 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 42566528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43439760).

42566528 is an abundant number, since it is smaller than the sum of its proper divisors (44312992).

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

42566528 is an equidigital number, since it uses as much as digits as its factorization.

42566528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8166 (or 8154 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 42566528 is about 6524.3028746373. The cubic root of 42566528 is about 349.1585993001.

The spelling of 42566528 in words is "forty-two million, five hundred sixty-six thousand, five hundred twenty-eight".