93944448 has 320 divisors, whose sum is σ = 326569320. Its totient is φ = 26542080.

The previous prime is 93944441. The next prime is 93944449. The reversal of 93944448 is 84444939.

It can be written as a sum of positive squares in 4 ways, for example, as 52881984 + 41062464 = 7272^2 + 6408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (93944441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2291308 + ... + 2291348.

Almost surely, 2^93944448 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 93944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163284660).

93944448 is an abundant number, since it is smaller than the sum of its proper divisors (232624872).

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

93944448 is a wasteful number, since it uses less digits than its factorization.

93944448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 93944448 is about 9692.4944157838. The cubic root of 93944448 is about 454.5940072839.

The spelling of 93944448 in words is "ninety-three million, nine hundred forty-four thousand, four hundred forty-eight".