427264128 has 96 divisors (see below), whose sum is σ = 1301880060. Its totient is φ = 134037504.

The previous prime is 427264127. The next prime is 427264129. The reversal of 427264128 is 821462724.

427264128 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 641 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (427264127) and next prime (427264129).

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 23736384 = 20088^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 427264092 and 427264101.

It is not an unprimeable number, because it can be changed into a prime (427264127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8676 + ... + 30492.

Almost surely, 2^427264128 is an apocalyptic number.

427264128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650940030).

427264128 is an abundant number, since it is smaller than the sum of its proper divisors (874615932).

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

427264128 is a wasteful number, since it uses less digits than its factorization.

427264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21854 (or 21839 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 427264128 is about 20670.3683566597. The cubic root of 427264128 is about 753.1800546130.

The spelling of 427264128 in words is "four hundred twenty-seven million, two hundred sixty-four thousand, one hundred twenty-eight".