98728773696 has 448 divisors, whose sum is σ = 337655001600. Its totient is φ = 27707277312.

The previous prime is 98728773683. The next prime is 98728773697. The reversal of 98728773696 is 69637782789.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (98728773697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315427236 + ... + 315427548.

It is an arithmetic number, because the mean of its divisors is an integer number (753694200).

Almost surely, 2^98728773696 is an apocalyptic number.

98728773696 is a gapful number since it is divisible by the number (96) 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 98728773696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168827500800).

98728773696 is an abundant number, since it is smaller than the sum of its proper divisors (238926227904).

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

98728773696 is a wasteful number, since it uses less digits than its factorization.

98728773696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 98728773696 in words is "ninety-eight billion, seven hundred twenty-eight million, seven hundred seventy-three thousand, six hundred ninety-six".