42681828 has 96 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 11287296.

The previous prime is 42681827. The next prime is 42681833. The reversal of 42681828 is 82818624.

It is not an unprimeable number, because it can be changed into a prime (42681827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74728 + ... + 75296.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^42681828 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 42681828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

42681828 is an abundant number, since it is smaller than the sum of its proper divisors (79890972).

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

42681828 is a wasteful number, since it uses less digits than its factorization.

42681828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 42681828 is about 6533.1330921695. The cubic root of 42681828 is about 349.4735705074.

The spelling of 42681828 in words is "forty-two million, six hundred eighty-one thousand, eight hundred twenty-eight".