98382983328 has 288 divisors, whose sum is σ = 325887045120. Its totient is φ = 27571622400.

The previous prime is 98382983323. The next prime is 98382983329. The reversal of 98382983328 is 82338928389.

98382983328 is a `hidden beast` number, since 9 + 8 + 3 + 8 + 298 + 332 + 8 = 666.

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

It is a super-2 number, since 2×98382983328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (98382983323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93608403 + ... + 93609453.

It is an arithmetic number, because the mean of its divisors is an integer number (1131552240).

Almost surely, 2^98382983328 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 98382983328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162943522560).

98382983328 is an abundant number, since it is smaller than the sum of its proper divisors (227504061792).

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

98382983328 is a wasteful number, since it uses less digits than its factorization.

98382983328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1909 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 98382983328 in words is "ninety-eight billion, three hundred eighty-two million, nine hundred eighty-three thousand, three hundred twenty-eight".