42591528 has 128 divisors (see below), whose sum is σ = 143251200. Its totient is φ = 11446272.

The previous prime is 42591509. The next prime is 42591539. The reversal of 42591528 is 82519524.

42591528 is a `hidden beast` number, since 42 + 5 + 91 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42591492 and 42591501.

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 31 ways as a sum of consecutive naturals, for example, 24876 + ... + 26532.

It is an arithmetic number, because the mean of its divisors is an integer number (1119150).

Almost surely, 2^42591528 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 42591528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71625600).

42591528 is an abundant number, since it is smaller than the sum of its proper divisors (100659672).

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

42591528 is a wasteful number, since it uses less digits than its factorization.

42591528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1686 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 42591528 is about 6526.2185069150. The cubic root of 42591528 is about 349.2269413916.

The spelling of 42591528 in words is "forty-two million, five hundred ninety-one thousand, five hundred twenty-eight".