438137128 has 96 divisors (see below), whose sum is σ = 999782280. Its totient is φ = 178675200.

The previous prime is 438137123. The next prime is 438137137. The reversal of 438137128 is 821731834.

It can be written as a sum of positive squares in 4 ways, for example, as 399920004 + 38217124 = 19998^2 + 6182^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (438137123) by changing a digit.

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, 465138 + ... + 466078.

Almost surely, 2^438137128 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 438137128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499891140).

438137128 is an abundant number, since it is smaller than the sum of its proper divisors (561645152).

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

438137128 is a wasteful number, since it uses less digits than its factorization.

438137128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1004 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 438137128 is about 20931.7253947208. The cubic root of 438137128 is about 759.5155777225.

The spelling of 438137128 in words is "four hundred thirty-eight million, one hundred thirty-seven thousand, one hundred twenty-eight".