95728893120 has 1344 divisors, whose sum is σ = 426306447360. Its totient is φ = 20084391936.

The previous prime is 95728893109. The next prime is 95728893163. The reversal of 95728893120 is 2139882759.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338264499 + ... + 338264781.

Almost surely, 2^95728893120 is an apocalyptic number.

95728893120 is a gapful number since it is divisible by the number (90) 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 95728893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213153223680).

95728893120 is an abundant number, since it is smaller than the sum of its proper divisors (330577554240).

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

95728893120 is a wasteful number, since it uses less digits than its factorization.

95728893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

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

The spelling of 95728893120 in words is "ninety-five billion, seven hundred twenty-eight million, eight hundred ninety-three thousand, one hundred twenty".