438348373728 has 96 divisors (see below), whose sum is σ = 1181980273824. Its totient is φ = 142140966912.

The previous prime is 438348373699. The next prime is 438348373763. The reversal of 438348373728 is 827373843834.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32518926 + ... + 32532402.

It is an arithmetic number, because the mean of its divisors is an integer number (12312294519).

Almost surely, 2^438348373728 is an apocalyptic number.

438348373728 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 438348373728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590990136912).

438348373728 is an abundant number, since it is smaller than the sum of its proper divisors (743631900096).

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

438348373728 is a wasteful number, since it uses less digits than its factorization.

438348373728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22684 (or 22676 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 438348373728 in words is "four hundred thirty-eight billion, three hundred forty-eight million, three hundred seventy-three thousand, seven hundred twenty-eight".