98828100 has 324 divisors, whose sum is σ = 378194544. Its totient is φ = 22317120.

The previous prime is 98828099. The next prime is 98828111. The reversal of 98828100 is 182889.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×98828100² = 19533986699220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1190659 + ... + 1190741.

Almost surely, 2^98828100 is an apocalyptic number.

98828100 is a gapful number since it is divisible by the number (90) 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 98828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189097272).

98828100 is an abundant number, since it is smaller than the sum of its proper divisors (279366444).

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

98828100 is a wasteful number, since it uses less digits than its factorization.

98828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 98828100 is about 9941.2323179775. The cubic root of 98828100 is about 462.3385947622.

The spelling of 98828100 in words is "ninety-eight million, eight hundred twenty-eight thousand, one hundred".