427165128 has 96 divisors (see below), whose sum is σ = 1288942200. Its totient is φ = 126895104.

The previous prime is 427165051. The next prime is 427165153. The reversal of 427165128 is 821561724.

It can be written as a sum of positive squares in 4 ways, for example, as 380952324 + 46212804 = 19518^2 + 6798^2 .

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 = 427165092 and 427165101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19276 + ... + 35012.

Almost surely, 2^427165128 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 427165128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644471100).

427165128 is an abundant number, since it is smaller than the sum of its proper divisors (861777072).

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

427165128 is a wasteful number, since it uses less digits than its factorization.

427165128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15791 (or 15784 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 427165128 is about 20667.9734855646. The cubic root of 427165128 is about 753.1218778083.

The spelling of 427165128 in words is "four hundred twenty-seven million, one hundred sixty-five thousand, one hundred twenty-eight".