42668928 has 48 divisors (see below), whose sum is σ = 122787600. Its totient is φ = 14222592.

The previous prime is 42668921. The next prime is 42668959. The reversal of 42668928 is 82986624.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42668921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17368 + ... + 19671.

It is an arithmetic number, because the mean of its divisors is an integer number (2558075).

Almost surely, 2^42668928 is an apocalyptic number.

42668928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42668928 is an abundant number, since it is smaller than the sum of its proper divisors (80118672).

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

42668928 is a wasteful number, since it uses less digits than its factorization.

42668928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37059 (or 37044 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 42668928 is about 6532.1457424035. The cubic root of 42668928 is about 349.4383590874.

The spelling of 42668928 in words is "forty-two million, six hundred sixty-eight thousand, nine hundred twenty-eight".