95982768 has 180 divisors, whose sum is σ = 319021248. Its totient is φ = 26853120.

The previous prime is 95982767. The next prime is 95982769. The reversal of 95982768 is 86728959.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95982767) and next prime (95982769).

It is not an unprimeable number, because it can be changed into a prime (95982767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430305 + ... + 430527.

Almost surely, 2^95982768 is an apocalyptic number.

95982768 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 95982768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159510624).

95982768 is an abundant number, since it is smaller than the sum of its proper divisors (223038480).

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

95982768 is a wasteful number, since it uses less digits than its factorization.

95982768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 95982768 is about 9797.0795648499. The cubic root of 95982768 is about 457.8582985544.

The spelling of 95982768 in words is "ninety-five million, nine hundred eighty-two thousand, seven hundred sixty-eight".