98828800 has 120 divisors (see below), whose sum is σ = 280089216. Its totient is φ = 33853440.

The previous prime is 98828791. The next prime is 98828833. The reversal of 98828800 is 882889.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89049 + ... + 90151.

Almost surely, 2^98828800 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 98828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140044608).

98828800 is an abundant number, since it is smaller than the sum of its proper divisors (181260416).

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

98828800 is a wasteful number, since it uses less digits than its factorization.

98828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The square root of 98828800 is about 9941.2675248179. The cubic root of 98828800 is about 462.3396863419.

The spelling of 98828800 in words is "ninety-eight million, eight hundred twenty-eight thousand, eight hundred".