98512128 has 324 divisors, whose sum is σ = 350112672. Its totient is φ = 26357760.

The previous prime is 98512121. The next prime is 98512181. The reversal of 98512128 is 82121589.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 98512092 and 98512101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98512121) 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 35 ways as a sum of consecutive naturals, for example, 4283125 + ... + 4283147.

Almost surely, 2^98512128 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 98512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175056336).

98512128 is an abundant number, since it is smaller than the sum of its proper divisors (251600544).

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

98512128 is a wasteful number, since it uses less digits than its factorization.

98512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 98512128 is about 9925.3276016462. The cubic root of 98512128 is about 461.8453409347.

The spelling of 98512128 in words is "ninety-eight million, five hundred twelve thousand, one hundred twenty-eight".