96424128 has 112 divisors (see below), whose sum is σ = 290596320. Its totient is φ = 31334400.

The previous prime is 96424123. The next prime is 96424129. The reversal of 96424128 is 82142469.

96424128 is a `hidden beast` number, since 9 + 642 + 4 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×96424128² = 18595224921120768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 96424092 and 96424101.

It is not an unprimeable number, because it can be changed into a prime (96424121) 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 15 ways as a sum of consecutive naturals, for example, 70168 + ... + 71528.

It is an arithmetic number, because the mean of its divisors is an integer number (2594610).

Almost surely, 2^96424128 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 96424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145298160).

96424128 is an abundant number, since it is smaller than the sum of its proper divisors (194172192).

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

96424128 is a wasteful number, since it uses less digits than its factorization.

96424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1407 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 96424128 is about 9819.5788097046. The cubic root of 96424128 is about 458.5590194164.

The spelling of 96424128 in words is "ninety-six million, four hundred twenty-four thousand, one hundred twenty-eight".