29382928282100 has 72 divisors (see below), whose sum is σ = 63860824916448. Its totient is φ = 11734771708800.

The previous prime is 29382928282087. The next prime is 29382928282111. The reversal of 29382928282100 is 128282928392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249972542 + ... + 250090058.

Almost surely, 2^{29382928282100} is an apocalyptic number.

29382928282100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29382928282100 is an abundant number, since it is smaller than the sum of its proper divisors (34477896634348).

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

29382928282100 is a wasteful number, since it uses less digits than its factorization.

29382928282100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121425 (or 121418 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The spelling of 29382928282100 in words is "twenty-nine trillion, three hundred eighty-two billion, nine hundred twenty-eight million, two hundred eighty-two thousand, one hundred".