28733330138100 has 72 divisors (see below), whose sum is σ = 95011544996928. Its totient is φ = 6567618316800.

The previous prime is 28733330138059. The next prime is 28733330138111. The reversal of 28733330138100 is 183103333782.

28733330138100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28733330138100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6841266981 + ... + 6841271180.

It is an arithmetic number, because the mean of its divisors is an integer number (1319604791624).

Almost surely, 2^{28733330138100} is an apocalyptic number.

28733330138100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28733330138100 is an abundant number, since it is smaller than the sum of its proper divisors (66278214858828).

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

28733330138100 is a wasteful number, since it uses less digits than its factorization.

28733330138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13682538185 (or 13682538178 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 28733330138100 in words is "twenty-eight trillion, seven hundred thirty-three billion, three hundred thirty million, one hundred thirty-eight thousand, one hundred".