123648728 has 64 divisors (see below), whose sum is σ = 273715200. Its totient is φ = 51269760.

The previous prime is 123648727. The next prime is 123648737. The reversal of 123648728 is 827846321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123648727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286673 + ... + 287103.

It is an arithmetic number, because the mean of its divisors is an integer number (4276800).

Almost surely, 2^123648728 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 123648728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136857600).

123648728 is an abundant number, since it is smaller than the sum of its proper divisors (150066472).

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

123648728 is a wasteful number, since it uses less digits than its factorization.

123648728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 123648728 is about 11119.7449611041. The cubic root of 123648728 is about 498.1917725098.

The spelling of 123648728 in words is "one hundred twenty-three million, six hundred forty-eight thousand, seven hundred twenty-eight".