104689728 has 336 divisors, whose sum is σ = 372782592. Its totient is φ = 27648000.

The previous prime is 104689693. The next prime is 104689729. The reversal of 104689728 is 827986401.

It is not an unprimeable number, because it can be changed into a prime (104689729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553388 + ... + 2553428.

It is an arithmetic number, because the mean of its divisors is an integer number (1109472).

Almost surely, 2^104689728 is an apocalyptic number.

104689728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186391296).

104689728 is an abundant number, since it is smaller than the sum of its proper divisors (268092864).

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

104689728 is a wasteful number, since it uses less digits than its factorization.

104689728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 104689728 is about 10231.7998416701. The cubic root of 104689728 is about 471.3042512011.

The spelling of 104689728 in words is "one hundred four million, six hundred eighty-nine thousand, seven hundred twenty-eight".