95438304 has 192 divisors, whose sum is σ = 311169600. Its totient is φ = 28256256.

The previous prime is 95438303. The next prime is 95438353. The reversal of 95438304 is 40383459.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95438303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325582 + ... + 325874.

It is an arithmetic number, because the mean of its divisors is an integer number (1620675).

Almost surely, 2^95438304 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 95438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155584800).

95438304 is an abundant number, since it is smaller than the sum of its proper divisors (215731296).

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

95438304 is a wasteful number, since it uses less digits than its factorization.

95438304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 95438304 is about 9769.2529908893. The cubic root of 95438304 is about 456.9909198942.

The spelling of 95438304 in words is "ninety-five million, four hundred thirty-eight thousand, three hundred four".