427627648 has 64 divisors (see below), whose sum is σ = 1000008000. Its totient is φ = 178301952.

The previous prime is 427627631. The next prime is 427627679. The reversal of 427627648 is 846726724.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 427627598 and 427627607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26703 + ... + 39601.

It is an arithmetic number, because the mean of its divisors is an integer number (15625125).

Almost surely, 2^427627648 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 427627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500004000).

427627648 is an abundant number, since it is smaller than the sum of its proper divisors (572380352).

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

427627648 is a wasteful number, since it uses less digits than its factorization.

427627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12945 counting only the distinct ones).

The product of its digits is 903168, while the sum is 46.

The square root of 427627648 is about 20679.1597508216. The cubic root of 427627648 is about 753.3935980887.

It can be divided in two parts, 427627 and 648, that added together give a triangular number (428275 = T₉₂₅).

The spelling of 427627648 in words is "four hundred twenty-seven million, six hundred twenty-seven thousand, six hundred forty-eight".