42080928 has 48 divisors (see below), whose sum is σ = 111625920. Its totient is φ = 13879296.

The previous prime is 42080921. The next prime is 42080947. The reversal of 42080928 is 82908024.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42080921) 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, 7053 + ... + 11571.

It is an arithmetic number, because the mean of its divisors is an integer number (2325540).

Almost surely, 2^42080928 is an apocalyptic number.

42080928 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 42080928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55812960).

42080928 is an abundant number, since it is smaller than the sum of its proper divisors (69544992).

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

42080928 is a wasteful number, since it uses less digits than its factorization.

42080928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 42080928 is about 6486.9814243606. The cubic root of 42080928 is about 347.8257814707.

The spelling of 42080928 in words is "forty-two million, eighty thousand, nine hundred twenty-eight".