95687728128 has 264 divisors, whose sum is σ = 288848567280. Its totient is φ = 30470307840.

The previous prime is 95687728127. The next prime is 95687728133. The reversal of 95687728128 is 82182778659.

It is a super-2 number, since 2×95687728128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95687728127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25922763 + ... + 25926453.

Almost surely, 2^95687728128 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 95687728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144424283640).

95687728128 is an abundant number, since it is smaller than the sum of its proper divisors (193160839152).

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

95687728128 is a wasteful number, since it uses less digits than its factorization.

95687728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3822 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 63.

The spelling of 95687728128 in words is "ninety-five billion, six hundred eighty-seven million, seven hundred twenty-eight thousand, one hundred twenty-eight".