42528584 has 32 divisors (see below), whose sum is σ = 91350720. Its totient is φ = 18182976.

The previous prime is 42528581. The next prime is 42528589. The reversal of 42528584 is 48582524.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42528581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35987 + ... + 37149.

It is an arithmetic number, because the mean of its divisors is an integer number (2854710).

Almost surely, 2^42528584 is an apocalyptic number.

It is an amenable number.

42528584 is an abundant number, since it is smaller than the sum of its proper divisors (48822136).

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

42528584 is a wasteful number, since it uses less digits than its factorization.

42528584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1825 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

The square root of 42528584 is about 6521.3943294360. The cubic root of 42528584 is about 349.0548212609.

The spelling of 42528584 in words is "forty-two million, five hundred twenty-eight thousand, five hundred eighty-four".