842288128 has 176 divisors, whose sum is σ = 1971408384. Its totient is φ = 356106240.

The previous prime is 842288119. The next prime is 842288131. The reversal of 842288128 is 821882248.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (43).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17921001 + ... + 17921047.

It is an arithmetic number, because the mean of its divisors is an integer number (11201184).

Almost surely, 2^842288128 is an apocalyptic number.

842288128 is a gapful number since it is divisible by the number (88) 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 842288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985704192).

842288128 is an abundant number, since it is smaller than the sum of its proper divisors (1129120256).

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

842288128 is a wasteful number, since it uses less digits than its factorization.

842288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its digits is 131072, while the sum is 43.

The square root of 842288128 is about 29022.2006057432. The cubic root of 842288128 is about 944.3947405917.

The spelling of 842288128 in words is "eight hundred forty-two million, two hundred eighty-eight thousand, one hundred twenty-eight".