438688028144 has 60 divisors (see below), whose sum is σ = 888815726736. Its totient is φ = 209737372416.

The previous prime is 438688028143. The next prime is 438688028189. The reversal of 438688028144 is 441820886834.

It is a self number, because there is not a number n which added to its sum of digits gives 438688028144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438688028143) 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, 32689724 + ... + 32703140.

Almost surely, 2^438688028144 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 438688028144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444407863368).

438688028144 is an abundant number, since it is smaller than the sum of its proper divisors (450127698592).

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

438688028144 is a wasteful number, since it uses less digits than its factorization.

438688028144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17334 (or 17305 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 438688028144 in words is "four hundred thirty-eight billion, six hundred eighty-eight million, twenty-eight thousand, one hundred forty-four".