96400128 has 72 divisors (see below), whose sum is σ = 279913536. Its totient is φ = 29209600.

The previous prime is 96400123. The next prime is 96400151. The reversal of 96400128 is 82100469.

It is a junction number, because it is equal to n+sod(n) for n = 96400095 and 96400104.

It is not an unprimeable number, because it can be changed into a prime (96400121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2743 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (3887688).

Almost surely, 2^96400128 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 96400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139956768).

96400128 is an abundant number, since it is smaller than the sum of its proper divisors (183513408).

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

96400128 is a wasteful number, since it uses less digits than its factorization.

96400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11441 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 96400128 is about 9818.3566853114. The cubic root of 96400128 is about 458.5209710914.

The spelling of 96400128 in words is "ninety-six million, four hundred thousand, one hundred twenty-eight".