42771728 has 40 divisors (see below), whose sum is σ = 89092512. Its totient is φ = 19819008.

The previous prime is 42771721. The next prime is 42771731. The reversal of 42771728 is 82717724.

It is a happy number.

It is a super-2 number, since 2×42771728² = 3658841432211968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42771691 and 42771700.

It is not an unprimeable number, because it can be changed into a prime (42771721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17051 + ... + 19397.

Almost surely, 2^42771728 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 42771728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44546256).

42771728 is an abundant number, since it is smaller than the sum of its proper divisors (46320784).

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

42771728 is a wasteful number, since it uses less digits than its factorization.

42771728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2433 counting only the distinct ones).

The product of its digits is 43904, while the sum is 38.

The square root of 42771728 is about 6540.0097859254. The cubic root of 42771728 is about 349.7187618302.

The spelling of 42771728 in words is "forty-two million, seven hundred seventy-one thousand, seven hundred twenty-eight".