42580428 has 48 divisors (see below), whose sum is σ = 108998400. Its totient is φ = 12830400.

The previous prime is 42580423. The next prime is 42580469. The reversal of 42580428 is 82408524.

It is a happy number.

42580428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42580423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25458 + ... + 27078.

It is an arithmetic number, because the mean of its divisors is an integer number (2270800).

Almost surely, 2^42580428 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 42580428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54499200).

42580428 is an abundant number, since it is smaller than the sum of its proper divisors (66417972).

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

42580428 is a wasteful number, since it uses less digits than its factorization.

42580428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 42580428 is about 6525.3680355977. The cubic root of 42580428 is about 349.1966008048.

The spelling of 42580428 in words is "forty-two million, five hundred eighty thousand, four hundred twenty-eight".