199901529828 has 192 divisors, whose sum is σ = 695850301440. Its totient is φ = 47928412800.

The previous prime is 199901529827. The next prime is 199901529851. The reversal of 199901529828 is 828925109991.

It is a happy number.

199901529828 is a `hidden beast` number, since 19 + 9 + 90 + 1 + 529 + 8 + 2 + 8 = 666.

199901529828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (199901529827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816438 + ... + 1032653.

It is an arithmetic number, because the mean of its divisors is an integer number (3624220320).

Almost surely, 2^199901529828 is an apocalyptic number.

199901529828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199901529828 is an abundant number, since it is smaller than the sum of its proper divisors (495948771612).

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

199901529828 is a wasteful number, since it uses less digits than its factorization.

199901529828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849135 (or 1849127 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

The spelling of 199901529828 in words is "one hundred ninety-nine billion, nine hundred one million, five hundred twenty-nine thousand, eight hundred twenty-eight".