42023728 has 40 divisors (see below), whose sum is σ = 88239888. Its totient is φ = 19310592.

The previous prime is 42023669. The next prime is 42023741. The reversal of 42023728 is 82732024.

It is a junction number, because it is equal to n+sod(n) for n = 42023696 and 42023705.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9900 + ... + 13492.

Almost surely, 2^42023728 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 42023728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44119944).

42023728 is an abundant number, since it is smaller than the sum of its proper divisors (46216160).

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

42023728 is a wasteful number, since it uses less digits than its factorization.

42023728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 42023728 is about 6482.5710948666. The cubic root of 42023728 is about 347.6681118163.

The spelling of 42023728 in words is "forty-two million, twenty-three thousand, seven hundred twenty-eight".