95352768 has 112 divisors (see below), whose sum is σ = 320405760. Its totient is φ = 27240192.

The previous prime is 95352767. The next prime is 95352769. The reversal of 95352768 is 86725359.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95352767) and next prime (95352769).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95352767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8155 + ... + 16037.

Almost surely, 2^95352768 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 95352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160202880).

95352768 is an abundant number, since it is smaller than the sum of its proper divisors (225052992).

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

95352768 is a wasteful number, since it uses less digits than its factorization.

95352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7895 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 95352768 is about 9764.8741927380. The cubic root of 95352768 is about 456.8543539757.

The spelling of 95352768 in words is "ninety-five million, three hundred fifty-two thousand, seven hundred sixty-eight".