42380128 has 48 divisors (see below), whose sum is σ = 96120864. Its totient is φ = 18017280.

The previous prime is 42380123. The next prime is 42380153. The reversal of 42380128 is 82108324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42380096 and 42380105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42380123) by changing a digit.

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, 29998 + ... + 31378.

It is an arithmetic number, because the mean of its divisors is an integer number (2002518).

Almost surely, 2^42380128 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 42380128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48060432).

42380128 is an abundant number, since it is smaller than the sum of its proper divisors (53740736).

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

42380128 is a wasteful number, since it uses less digits than its factorization.

42380128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 42380128 is about 6510.0021505373. The cubic root of 42380128 is about 348.6481951705.

Subtracting from 42380128 its sum of digits (28), we obtain a square (42380100 = 6510²).

The spelling of 42380128 in words is "forty-two million, three hundred eighty thousand, one hundred twenty-eight".