96301128 has 192 divisors, whose sum is σ = 317583360. Its totient is φ = 23616000.

The previous prime is 96301103. The next prime is 96301129. The reversal of 96301128 is 82110369.

It is a junction number, because it is equal to n+sod(n) for n = 96301095 and 96301104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96301129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2348788 + ... + 2348828.

It is an arithmetic number, because the mean of its divisors is an integer number (1654080).

Almost surely, 2^96301128 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 96301128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158791680).

96301128 is an abundant number, since it is smaller than the sum of its proper divisors (221282232).

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

96301128 is a wasteful number, since it uses less digits than its factorization.

96301128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 96301128 is about 9813.3138133864. The cubic root of 96301128 is about 458.3639549642.

The spelling of 96301128 in words is "ninety-six million, three hundred one thousand, one hundred twenty-eight".