438128 has 20 divisors (see below), whose sum is σ = 859320. Its totient is φ = 216384.

The previous prime is 438091. The next prime is 438131. The reversal of 438128 is 821834.

It is a super-2 number, since 2×438128² = 383912288768, which contains 22 as substring.

It is a cake number, because a cake can be divided into 438128 parts by 138 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 438097 and 438106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2126 + ... + 2322.

It is an arithmetic number, because the mean of its divisors is an integer number (42966).

2⁴³⁸¹²⁸ is an apocalyptic number.

It is an amenable number.

438128 is a deficient number, since it is larger than the sum of its proper divisors (421192).

438128 is a wasteful number, since it uses less digits than its factorization.

438128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 438128 is about 661.9123809085. The cubic root of 438128 is about 75.9510303189.

The spelling of 438128 in words is "four hundred thirty-eight thousand, one hundred twenty-eight".