427106628 has 96 divisors (see below), whose sum is σ = 1212283520. Its totient is φ = 129237120.

The previous prime is 427106621. The next prime is 427106683. The reversal of 427106628 is 826601724.

427106628 is a `hidden beast` number, since 4 + 27 + 1 + 0 + 6 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 427106592 and 427106601.

It is not an unprimeable number, because it can be changed into a prime (427106621) 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, 83151 + ... + 88137.

Almost surely, 2^427106628 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 427106628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606141760).

427106628 is an abundant number, since it is smaller than the sum of its proper divisors (785176892).

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

427106628 is a wasteful number, since it uses less digits than its factorization.

427106628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 427106628 is about 20666.5582040165. The cubic root of 427106628 is about 753.0874963803.

The spelling of 427106628 in words is "four hundred twenty-seven million, one hundred six thousand, six hundred twenty-eight".