95446729728 has 528 divisors, whose sum is σ = 335692017024. Its totient is φ = 26515537920.

The previous prime is 95446729709. The next prime is 95446729753. The reversal of 95446729728 is 82792764459.

95446729728 is a `hidden beast` number, since 9 + 544 + 67 + 2 + 9 + 7 + 28 = 666.

It is a super-2 number, since 2×95446729728² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 64446748 + ... + 64448228.

Almost surely, 2^95446729728 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 95446729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167846008512).

95446729728 is an abundant number, since it is smaller than the sum of its proper divisors (240245287296).

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

95446729728 is a wasteful number, since it uses less digits than its factorization.

95446729728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1530 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 95446729728 in words is "ninety-five billion, four hundred forty-six million, seven hundred twenty-nine thousand, seven hundred twenty-eight".