422728848000 has 1024 divisors, whose sum is σ = 1632571200000. Its totient is φ = 107395891200.

The previous prime is 422728847977. The next prime is 422728848007. The reversal of 422728848000 is 848827224.

422728848000 is a `hidden beast` number, since 4 + 22 + 72 + 88 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (422728848007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 847151751 + ... + 847152249.

Almost surely, 2^422728848000 is an apocalyptic number.

422728848000 is a gapful number since it is divisible by the number (40) 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 422728848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816285600000).

422728848000 is an abundant number, since it is smaller than the sum of its proper divisors (1209842352000).

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

422728848000 is a wasteful number, since it uses less digits than its factorization.

422728848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 422728848000 in words is "four hundred twenty-two billion, seven hundred twenty-eight million, eight hundred forty-eight thousand".