42919128 has 192 divisors, whose sum is σ = 142571520. Its totient is φ = 11404800.

The previous prime is 42919111. The next prime is 42919139. The reversal of 42919128 is 82191924.

42919128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a junction number, because it is equal to n+sod(n) for n = 42919092 and 42919101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640551 + ... + 640617.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 2^42919128 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 42919128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71285760).

42919128 is an abundant number, since it is smaller than the sum of its proper divisors (99652392).

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

42919128 is a wasteful number, since it uses less digits than its factorization.

42919128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 42919128 is about 6551.2691900120. The cubic root of 42919128 is about 350.1200350189.

The spelling of 42919128 in words is "forty-two million, nine hundred nineteen thousand, one hundred twenty-eight".