98294657328 has 400 divisors, whose sum is σ = 335137746240. Its totient is φ = 27232837632.

The previous prime is 98294657297. The next prime is 98294657401. The reversal of 98294657328 is 82375649289.

98294657328 is a `hidden beast` number, since 9 + 82 + 9 + 465 + 73 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 42791476 + ... + 42793772.

Almost surely, 2^98294657328 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 98294657328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167568873120).

98294657328 is an abundant number, since it is smaller than the sum of its proper divisors (236843088912).

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

98294657328 is a wasteful number, since it uses less digits than its factorization.

98294657328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2451 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 98294657328 in words is "ninety-eight billion, two hundred ninety-four million, six hundred fifty-seven thousand, three hundred twenty-eight".