422782128 has 120 divisors (see below), whose sum is σ = 1232960768. Its totient is φ = 135115776.

The previous prime is 422782121. The next prime is 422782147. The reversal of 422782128 is 821287224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422782092 and 422782101.

It is not an unprimeable number, because it can be changed into a prime (422782121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388401 + ... + 389487.

Almost surely, 2^422782128 is an apocalyptic number.

422782128 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 422782128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616480384).

422782128 is an abundant number, since it is smaller than the sum of its proper divisors (810178640).

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

422782128 is a wasteful number, since it uses less digits than its factorization.

422782128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1202 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 422782128 is about 20561.6664694280. Note that the first 3 decimals coincide. The cubic root of 422782128 is about 750.5371725024.

The spelling of 422782128 in words is "four hundred twenty-two million, seven hundred eighty-two thousand, one hundred twenty-eight".