42748928 has 44 divisors (see below), whose sum is σ = 86465280. Its totient is φ = 21123072.

The previous prime is 42748919. The next prime is 42748939. The reversal of 42748928 is 82984724.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

Its product of digits (258048) is a multiple of the sum of its prime factors (512).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111425 + ... + 111807.

It is an arithmetic number, because the mean of its divisors is an integer number (1965120).

Almost surely, 2^42748928 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 42748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43232640).

42748928 is an abundant number, since it is smaller than the sum of its proper divisors (43716352).

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

42748928 is a wasteful number, since it uses less digits than its factorization.

42748928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 494 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 42748928 is about 6538.2664369082. The cubic root of 42748928 is about 349.6566101444.

The spelling of 42748928 in words is "forty-two million, seven hundred forty-eight thousand, nine hundred twenty-eight".