42627728 has 80 divisors (see below), whose sum is σ = 100326912. Its totient is φ = 17280000.

The previous prime is 42627713. The next prime is 42627733. The reversal of 42627728 is 82772624.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42627691 and 42627700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70628 + ... + 71228.

Almost surely, 2^42627728 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 42627728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50163456).

42627728 is an abundant number, since it is smaller than the sum of its proper divisors (57699184).

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

42627728 is a wasteful number, since it uses less digits than its factorization.

42627728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The square root of 42627728 is about 6528.9913462954. The cubic root of 42627728 is about 349.3258533578.

Subtracting 42627728 from its reverse (82772624), we obtain a square (40144896 = 6336²).

The spelling of 42627728 in words is "forty-two million, six hundred twenty-seven thousand, seven hundred twenty-eight".