98281728 has 144 divisors (see below), whose sum is σ = 296788800. Its totient is φ = 32071680.

The previous prime is 98281727. The next prime is 98281753. The reversal of 98281728 is 82718289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (98281727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407688 + ... + 407928.

Almost surely, 2^98281728 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 98281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148394400).

98281728 is an abundant number, since it is smaller than the sum of its proper divisors (198507072).

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

98281728 is a wasteful number, since it uses less digits than its factorization.

98281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 98281728 is about 9913.7141374966. The cubic root of 98281728 is about 461.4850055012.

The spelling of 98281728 in words is "ninety-eight million, two hundred eighty-one thousand, seven hundred twenty-eight".