42462728 has 64 divisors (see below), whose sum is σ = 102729600. Its totient is φ = 15966720.

The previous prime is 42462727. The next prime is 42462731. The reversal of 42462728 is 82726424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42462727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16676 + ... + 19052.

It is an arithmetic number, because the mean of its divisors is an integer number (1605150).

Almost surely, 2^42462728 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 42462728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51364800).

42462728 is an abundant number, since it is smaller than the sum of its proper divisors (60266872).

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

42462728 is a wasteful number, since it uses less digits than its factorization.

42462728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2426 counting only the distinct ones).

The product of its digits is 43008, while the sum is 35.

The square root of 42462728 is about 6516.3431462746. The cubic root of 42462728 is about 348.8745563837.

The spelling of 42462728 in words is "forty-two million, four hundred sixty-two thousand, seven hundred twenty-eight".