98611128 has 256 divisors, whose sum is σ = 351360000. Its totient is φ = 25613280.

The previous prime is 98611103. The next prime is 98611147. The reversal of 98611128 is 82111689.

The cubic root of 98611128 is 462.

It is a perfect power (a cube), and thus also a powerful number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 98611092 and 98611101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8964643 + ... + 8964653.

It is an arithmetic number, because the mean of its divisors is an integer number (1372500).

Almost surely, 2^98611128 is an apocalyptic number.

98611128 is a gapful number since it is divisible by the number (98) 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 98611128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175680000).

98611128 is an abundant number, since it is smaller than the sum of its proper divisors (252748872).

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

98611128 is a wasteful number, since it uses less digits than its factorization.

98611128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 98611128 is about 9930.3135902146.

The spelling of 98611128 in words is "ninety-eight million, six hundred eleven thousand, one hundred twenty-eight".