422928 has 80 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 126720.

The previous prime is 422927. The next prime is 422969. The reversal of 422928 is 829224.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (422923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4708 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2⁴²²⁹²⁸ is an apocalyptic number.

422928 is a gapful number since it is divisible by the number (48) 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 422928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

422928 is an abundant number, since it is smaller than the sum of its proper divisors (916272).

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

422928 is a wasteful number, since it uses less digits than its factorization.

422928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 422928 is about 650.3291474323. The cubic root of 422928 is about 75.0623481551.

The spelling of 422928 in words is "four hundred twenty-two thousand, nine hundred twenty-eight".