42673728 has 56 divisors (see below), whose sum is σ = 115978432. Its totient is φ = 13837824.

The previous prime is 42673727. The next prime is 42673733. The reversal of 42673728 is 82737624.

It is a super-2 number, since 2×42673728² = 3642094122835968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42673721) 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, 4101 + ... + 10107.

Almost surely, 2^42673728 is an apocalyptic number.

42673728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57989216).

42673728 is an abundant number, since it is smaller than the sum of its proper divisors (73304704).

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

42673728 is a wasteful number, since it uses less digits than its factorization.

42673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6049 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 42673728 is about 6532.5131457962. The cubic root of 42673728 is about 349.4514618401.

The spelling of 42673728 in words is "forty-two million, six hundred seventy-three thousand, seven hundred twenty-eight".