98497728000 has 1280 divisors, whose sum is σ = 441228902400. Its totient is φ = 21145190400.

The previous prime is 98497727987. The next prime is 98497728019. The reversal of 98497728000 is 82779489.

98497728000 is a `hidden beast` number, since 9 + 8 + 497 + 72 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 205631761 + ... + 205632239.

It is an arithmetic number, because the mean of its divisors is an integer number (344710080).

Almost surely, 2^98497728000 is an apocalyptic number.

98497728000 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 98497728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220614451200).

98497728000 is an abundant number, since it is smaller than the sum of its proper divisors (342731174400).

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

98497728000 is a wasteful number, since it uses less digits than its factorization.

98497728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 98497728000 in words is "ninety-eight billion, four hundred ninety-seven million, seven hundred twenty-eight thousand".