427788648 has 128 divisors (see below), whose sum is σ = 1429632000. Its totient is φ = 115784640.

The previous prime is 427788643. The next prime is 427788649. The reversal of 427788648 is 846887724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 427788594 and 427788603.

It is not an unprimeable number, because it can be changed into a prime (427788643) 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, 21283 + ... + 36173.

It is an arithmetic number, because the mean of its divisors is an integer number (11169000).

Almost surely, 2^427788648 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 427788648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714816000).

427788648 is an abundant number, since it is smaller than the sum of its proper divisors (1001843352).

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

427788648 is a wasteful number, since it uses less digits than its factorization.

427788648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14932 (or 14922 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 427788648 is about 20683.0521925561. The cubic root of 427788648 is about 753.4881360592.

The spelling of 427788648 in words is "four hundred twenty-seven million, seven hundred eighty-eight thousand, six hundred forty-eight".