427984128 has 288 divisors, whose sum is σ = 1490321280. Its totient is φ = 119439360.

The previous prime is 427984127. The next prime is 427984157. The reversal of 427984128 is 821489724.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427984121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988200 + ... + 988632.

Almost surely, 2^427984128 is an apocalyptic number.

427984128 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 427984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745160640).

427984128 is an abundant number, since it is smaller than the sum of its proper divisors (1062337152).

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

427984128 is a wasteful number, since it uses less digits than its factorization.

427984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 462 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 427984128 is about 20687.7772609819. Note that the first 3 decimals coincide. The cubic root of 427984128 is about 753.6028885442.

The spelling of 427984128 in words is "four hundred twenty-seven million, nine hundred eighty-four thousand, one hundred twenty-eight".