96389280 has 288 divisors, whose sum is σ = 374250240. Its totient is φ = 22394880.

The previous prime is 96389257. The next prime is 96389287. The reversal of 96389280 is 8298369.

96389280 is a `hidden beast` number, since 9 + 638 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (96389287) 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, 355545 + ... + 355815.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^96389280 is an apocalyptic number.

96389280 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 96389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

96389280 is an abundant number, since it is smaller than the sum of its proper divisors (277860960).

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

96389280 is a wasteful number, since it uses less digits than its factorization.

96389280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 96389280 is about 9817.8042351638. The cubic root of 96389280 is about 458.5037711762.

It can be divided in two parts, 96389 and 280, that added together give a palindrome (96669).

The spelling of 96389280 in words is "ninety-six million, three hundred eighty-nine thousand, two hundred eighty".