98772128 has 96 divisors (see below), whose sum is σ = 242331264. Its totient is φ = 38587392.

The previous prime is 98772109. The next prime is 98772131. The reversal of 98772128 is 82127789.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311426 + ... + 311742.

It is an arithmetic number, because the mean of its divisors is an integer number (2524284).

Almost surely, 2^98772128 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 98772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121165632).

98772128 is an abundant number, since it is smaller than the sum of its proper divisors (143559136).

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

98772128 is a wasteful number, since it uses less digits than its factorization.

98772128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its digits is 112896, while the sum is 44.

The square root of 98772128 is about 9938.4167753219. The cubic root of 98772128 is about 462.2512953579.

The spelling of 98772128 in words is "ninety-eight million, seven hundred seventy-two thousand, one hundred twenty-eight".