98728800 has 144 divisors (see below), whose sum is σ = 331978752. Its totient is φ = 25459200.

The previous prime is 98728757. The next prime is 98728849. The reversal of 98728800 is 882789.

It is a happy number.

98728800 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73737 + ... + 75063.

It is an arithmetic number, because the mean of its divisors is an integer number (2305408).

Almost surely, 2^98728800 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 98728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165989376).

98728800 is an abundant number, since it is smaller than the sum of its proper divisors (233249952).

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

98728800 is a wasteful number, since it uses less digits than its factorization.

98728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 98728800 is about 9936.2367121562. The cubic root of 98728800 is about 462.1836941232.

The spelling of 98728800 in words is "ninety-eight million, seven hundred twenty-eight thousand, eight hundred".