98271901728 has 1152 divisors, whose sum is σ = 400288573440. Its totient is φ = 22648688640.

The previous prime is 98271901703. The next prime is 98271901747. The reversal of 98271901728 is 82710917289.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1183998775 + ... + 1183998857.

It is an arithmetic number, because the mean of its divisors is an integer number (347472720).

Almost surely, 2^98271901728 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 98271901728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200144286720).

98271901728 is an abundant number, since it is smaller than the sum of its proper divisors (302016671712).

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

98271901728 is a wasteful number, since it uses less digits than its factorization.

98271901728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

It can be divided in two parts, 98271 and 901728, that added together give a palindrome (999999).

The spelling of 98271901728 in words is "ninety-eight billion, two hundred seventy-one million, nine hundred one thousand, seven hundred twenty-eight".