98384832 has 168 divisors, whose sum is σ = 347264736. Its totient is φ = 25933824.

The previous prime is 98384821. The next prime is 98384833. The reversal of 98384832 is 23848389.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98384833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51478 + ... + 53354.

It is an arithmetic number, because the mean of its divisors is an integer number (2067052).

Almost surely, 2^98384832 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 98384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173632368).

98384832 is an abundant number, since it is smaller than the sum of its proper divisors (248879904).

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

98384832 is a wasteful number, since it uses less digits than its factorization.

98384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1902 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 98384832 is about 9918.9128436538. The cubic root of 98384832 is about 461.6463251488.

The spelling of 98384832 in words is "ninety-eight million, three hundred eighty-four thousand, eight hundred thirty-two".