98128800 has 576 divisors, whose sum is σ = 449971200. Its totient is φ = 20044800.

The previous prime is 98128781. The next prime is 98128801. The reversal of 98128800 is 882189.

It is a super-2 number, since 2×98128800² = 19258522778880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98128801) 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 95 ways as a sum of consecutive naturals, for example, 1663171 + ... + 1663229.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^98128800 is an apocalyptic number.

98128800 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 98128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

98128800 is an abundant number, since it is smaller than the sum of its proper divisors (351842400).

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

98128800 is a wasteful number, since it uses less digits than its factorization.

98128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

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

The square root of 98128800 is about 9905.9981829193. The cubic root of 98128800 is about 461.2455218020.

Adding to 98128800 its sum of digits (36), we get a square (98128836 = 9906²).

The spelling of 98128800 in words is "ninety-eight million, one hundred twenty-eight thousand, eight hundred".