427852613628 has 144 divisors (see below), whose sum is σ = 1242594138240. Its totient is φ = 122763081600.

The previous prime is 427852613597. The next prime is 427852613633. The reversal of 427852613628 is 826316258724.

427852613628 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 5 + 2 + 6 + 1 + 3 + 628 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15116626 + ... + 15144902.

It is an arithmetic number, because the mean of its divisors is an integer number (8629125960).

Almost surely, 2^427852613628 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 427852613628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621297069120).

427852613628 is an abundant number, since it is smaller than the sum of its proper divisors (814741524612).

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

427852613628 is a wasteful number, since it uses less digits than its factorization.

427852613628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30328 (or 30323 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 427852613628 in words is "four hundred twenty-seven billion, eight hundred fifty-two million, six hundred thirteen thousand, six hundred twenty-eight".