42443632 has 80 divisors (see below), whose sum is σ = 104850432. Its totient is φ = 16162560.

The previous prime is 42443603. The next prime is 42443633. The reversal of 42443632 is 23634424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 42443632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42443633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57538 + ... + 58270.

Almost surely, 2^42443632 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 42443632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52425216).

42443632 is an abundant number, since it is smaller than the sum of its proper divisors (62406800).

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

42443632 is a wasteful number, since it uses less digits than its factorization.

42443632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 42443632 is about 6514.8777425213. The cubic root of 42443632 is about 348.8222508461.

The spelling of 42443632 in words is "forty-two million, four hundred forty-three thousand, six hundred thirty-two".