42578928 has 120 divisors (see below), whose sum is σ = 138928608. Its totient is φ = 11920896.

The previous prime is 42578927. The next prime is 42578941. The reversal of 42578928 is 82987524.

42578928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42578927) 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 23 ways as a sum of consecutive naturals, for example, 53026 + ... + 53822.

Almost surely, 2^42578928 is an apocalyptic number.

42578928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42578928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

42578928 is an abundant number, since it is smaller than the sum of its proper divisors (96349680).

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

42578928 is a wasteful number, since it uses less digits than its factorization.

42578928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 42578928 is about 6525.2530985396. The cubic root of 42578928 is about 349.1925003211.

The spelling of 42578928 in words is "forty-two million, five hundred seventy-eight thousand, nine hundred twenty-eight".