93423119328 has 432 divisors, whose sum is σ = 340473684096. Its totient is φ = 24026042880.

The previous prime is 93423119287. The next prime is 93423119399. The reversal of 93423119328 is 82391132439.

93423119328 is a `hidden beast` number, since 9 + 3 + 4 + 2 + 311 + 9 + 328 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15985975 + ... + 15991817.

It is an arithmetic number, because the mean of its divisors is an integer number (788133528).

Almost surely, 2^93423119328 is an apocalyptic number.

93423119328 is a gapful number since it is divisible by the number (98) 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 93423119328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170236842048).

93423119328 is an abundant number, since it is smaller than the sum of its proper divisors (247050564768).

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

93423119328 is a wasteful number, since it uses less digits than its factorization.

93423119328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5969 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 93423119328 in words is "ninety-three billion, four hundred twenty-three million, one hundred nineteen thousand, three hundred twenty-eight".