98204617728 has 660 divisors, whose sum is σ = 346854930312. Its totient is φ = 27590492160.

The previous prime is 98204617727. The next prime is 98204617751. The reversal of 98204617728 is 82771640289.

It is a happy number.

98204617728 is a `hidden beast` number, since 98 + 2 + 0 + 461 + 77 + 28 = 666.

It is a super-2 number, since 2×98204617728² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98204617727) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 296690523 + ... + 296690853.

Almost surely, 2^98204617728 is an apocalyptic number.

98204617728 is a gapful number since it is divisible by the number (98) 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 98204617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173427465156).

98204617728 is an abundant number, since it is smaller than the sum of its proper divisors (248650312584).

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

98204617728 is a wasteful number, since it uses less digits than its factorization.

98204617728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 98204617728 in words is "ninety-eight billion, two hundred four million, six hundred seventeen thousand, seven hundred twenty-eight".