123728 has 40 divisors (see below), whose sum is σ = 282720. Its totient is φ = 51840.

The previous prime is 123727. The next prime is 123731. The reversal of 123728 is 827321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3326 + ... + 3362.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2¹²³⁷²⁸ 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 123728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360).

123728 is an abundant number, since it is smaller than the sum of its proper divisors (158992).

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

123728 is a wasteful number, since it uses less digits than its factorization.

123728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 123728 is about 351.7499111585. The cubic root of 123728 is about 49.8298214423.

The spelling of 123728 in words is "one hundred twenty-three thousand, seven hundred twenty-eight".