96384288 has 384 divisors, whose sum is σ = 365783040. Its totient is φ = 21381120.

The previous prime is 96384269. The next prime is 96384289. The reversal of 96384288 is 88248369.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (96384289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633603 + ... + 1633661.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^96384288 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 96384288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

96384288 is an abundant number, since it is smaller than the sum of its proper divisors (269398752).

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

96384288 is a wasteful number, since it uses less digits than its factorization.

96384288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 96384288 is about 9817.5499998727. The cubic root of 96384288 is about 458.4958557374.

The spelling of 96384288 in words is "ninety-six million, three hundred eighty-four thousand, two hundred eighty-eight".