42146728 has 32 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 19293120.

The previous prime is 42146719. The next prime is 42146749. The reversal of 42146728 is 82764124.

It is a happy number.

It is a super-2 number, since 2×42146728² = 3552693362211968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42146693 and 42146702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11613 + ... + 14803.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^42146728 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 42146728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

42146728 is an abundant number, since it is smaller than the sum of its proper divisors (43654232).

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

42146728 is a wasteful number, since it uses less digits than its factorization.

42146728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3333 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 42146728 is about 6492.0511396630. The cubic root of 42146728 is about 348.0069800864.

The spelling of 42146728 in words is "forty-two million, one hundred forty-six thousand, seven hundred twenty-eight".