422842728 has 256 divisors, whose sum is σ = 1394196480. Its totient is φ = 104544000.

The previous prime is 422842709. The next prime is 422842729. The reversal of 422842728 is 827248224.

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 (422842729) 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 63 ways as a sum of consecutive naturals, for example, 6931818 + ... + 6931878.

It is an arithmetic number, because the mean of its divisors is an integer number (5446080).

Almost surely, 2^422842728 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 422842728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697098240).

422842728 is an abundant number, since it is smaller than the sum of its proper divisors (971353752).

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

422842728 is a wasteful number, since it uses less digits than its factorization.

422842728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its digits is 114688, while the sum is 39.

The square root of 422842728 is about 20563.1400325923. The cubic root of 422842728 is about 750.5730305143.

The spelling of 422842728 in words is "four hundred twenty-two million, eight hundred forty-two thousand, seven hundred twenty-eight".