10063728198 has 80 divisors (see below), whose sum is σ = 23266615680. Its totient is φ = 3248843904.

The previous prime is 10063728151. The next prime is 10063728239. The reversal of 10063728198 is 89182736001.

10063728198 is a `hidden beast` number, since 1 + 0 + 0 + 637 + 2 + 8 + 1 + 9 + 8 = 666.

10063728198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1332898 + ... + 1340426.

It is an arithmetic number, because the mean of its divisors is an integer number (290832696).

Almost surely, 2^10063728198 is an apocalyptic number.

10063728198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10063728198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633307840).

10063728198 is an abundant number, since it is smaller than the sum of its proper divisors (13202887482).

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

10063728198 is a wasteful number, since it uses less digits than its factorization.

10063728198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7803 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10063728198 in words is "ten billion, sixty-three million, seven hundred twenty-eight thousand, one hundred ninety-eight".