42686528 has 56 divisors (see below), whose sum is σ = 90415872. Its totient is φ = 19948544.

The previous prime is 42686513. The next prime is 42686543. The reversal of 42686528 is 82568624.

It is an interprime number because it is at equal distance from previous prime (42686513) and next prime (42686543).

It is a super-3 number, since 3×42686528³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68876 + ... + 69492.

Almost surely, 2^42686528 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 42686528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45207936).

42686528 is an abundant number, since it is smaller than the sum of its proper divisors (47729344).

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

42686528 is a wasteful number, since it uses less digits than its factorization.

42686528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 42686528 is about 6533.4927871698. The cubic root of 42686528 is about 349.4863977110.

The spelling of 42686528 in words is "forty-two million, six hundred eighty-six thousand, five hundred twenty-eight".