438927971328 has 1056 divisors, whose sum is σ = 1652249314560. Its totient is φ = 108928696320.

The previous prime is 438927971269. The next prime is 438927971353. The reversal of 438927971328 is 823179729834.

438927971328 is a `hidden beast` number, since 4 + 38 + 9 + 279 + 7 + 1 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×438927971328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1916715918 + ... + 1916716146.

Almost surely, 2^438927971328 is an apocalyptic number.

438927971328 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 438927971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826124657280).

438927971328 is an abundant number, since it is smaller than the sum of its proper divisors (1213321343232).

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

438927971328 is a wasteful number, since it uses less digits than its factorization.

438927971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 362 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 438927971328 in words is "four hundred thirty-eight billion, nine hundred twenty-seven million, nine hundred seventy-one thousand, three hundred twenty-eight".