98638848 has 264 divisors, whose sum is σ = 357651840. Its totient is φ = 25436160.

The previous prime is 98638819. The next prime is 98638871. The reversal of 98638848 is 84883689.

It is a tau number, because it is divible by the number of its divisors (264).

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

Its product of digits (2654208) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 98638794 and 98638803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709563 + ... + 709701.

Almost surely, 2^98638848 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 98638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178825920).

98638848 is an abundant number, since it is smaller than the sum of its proper divisors (259012992).

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

98638848 is a wasteful number, since it uses less digits than its factorization.

98638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 98638848 is about 9931.7092184578. The cubic root of 98638848 is about 462.0432859876.

The spelling of 98638848 in words is "ninety-eight million, six hundred thirty-eight thousand, eight hundred forty-eight".