98328023350200 has 2304 divisors, whose sum is σ = 409376298240000. Its totient is φ = 21467642388480.

The previous prime is 98328023350121. The next prime is 98328023350223. The reversal of 98328023350200 is 205332082389.

98328023350200 is a `hidden beast` number, since 9 + 8 + 32 + 80 + 2 + 33 + 502 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 193178827546 + ... + 193178828054.

It is an arithmetic number, because the mean of its divisors is an integer number (177680685000).

Almost surely, 2^{98328023350200} is an apocalyptic number.

98328023350200 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 98328023350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204688149120000).

98328023350200 is an abundant number, since it is smaller than the sum of its proper divisors (311048274889800).

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

98328023350200 is a wasteful number, since it uses less digits than its factorization.

98328023350200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 98328023350200 in words is "ninety-eight trillion, three hundred twenty-eight billion, twenty-three million, three hundred fifty thousand, two hundred".