42469128 has 144 divisors (see below), whose sum is σ = 132421380. Its totient is φ = 12220416.

The previous prime is 42469103. The next prime is 42469139. The reversal of 42469128 is 82196424.

It can be written as a sum of positive squares in 6 ways, for example, as 20958084 + 21511044 = 4578^2 + 4638^2 .

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.

Its product of digits (27648) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 42469092 and 42469101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270426 + ... + 270582.

Almost surely, 2^42469128 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 42469128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66210690).

42469128 is an abundant number, since it is smaller than the sum of its proper divisors (89952252).

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

42469128 is a wasteful number, since it uses less digits than its factorization.

42469128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42469128 is about 6516.8342007450. The cubic root of 42469128 is about 348.8920830092.

The spelling of 42469128 in words is "forty-two million, four hundred sixty-nine thousand, one hundred twenty-eight".