108133728 has 96 divisors (see below), whose sum is σ = 295166592. Its totient is φ = 34636800.

The previous prime is 108133717. The next prime is 108133747. The reversal of 108133728 is 827331801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×108133728³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326523 + ... + 326853.

It is an arithmetic number, because the mean of its divisors is an integer number (3074652).

Almost surely, 2^108133728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108133728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147583296).

108133728 is an abundant number, since it is smaller than the sum of its proper divisors (187032864).

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

108133728 is a wasteful number, since it uses less digits than its factorization.

108133728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 108133728 is about 10398.7368463674. The cubic root of 108133728 is about 476.4167900456.

It can be divided in two parts, 10813 and 3728, that added together give a palindrome (14541).

The spelling of 108133728 in words is "one hundred eight million, one hundred thirty-three thousand, seven hundred twenty-eight".