42432768 has 144 divisors (see below), whose sum is σ = 143570560. Its totient is φ = 12109824.

The previous prime is 42432763. The next prime is 42432779. The reversal of 42432768 is 86723424.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42432763) 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, 47946 + ... + 48822.

Almost surely, 2^42432768 is an apocalyptic number.

42432768 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 42432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71785280).

42432768 is an abundant number, since it is smaller than the sum of its proper divisors (101137792).

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

42432768 is an equidigital number, since it uses as much as digits as its factorization.

42432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 889 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42432768 is about 6514.0439052865. The cubic root of 42432768 is about 348.7924864414.

The spelling of 42432768 in words is "forty-two million, four hundred thirty-two thousand, seven hundred sixty-eight".