42580928 has 56 divisors (see below), whose sum is σ = 92598240. Its totient is φ = 19307520.

The previous prime is 42580927. The next prime is 42580939. The reversal of 42580928 is 82908524.

It is a junction number, because it is equal to n+sod(n) for n = 42580891 and 42580900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42580927) 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, 50333 + ... + 51171.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 2^42580928 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 42580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46299120).

42580928 is an abundant number, since it is smaller than the sum of its proper divisors (50017312).

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

42580928 is a wasteful number, since it uses less digits than its factorization.

42580928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 42580928 is about 6525.4063475005. The cubic root of 42580928 is about 349.1979676113.

The spelling of 42580928 in words is "forty-two million, five hundred eighty thousand, nine hundred twenty-eight".