123955328 has 64 divisors (see below), whose sum is σ = 289924800. Its totient is φ = 51674112.

The previous prime is 123955289. The next prime is 123955333. The reversal of 123955328 is 823559321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 123955291 and 123955300.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31283 + ... + 35021.

It is an arithmetic number, because the mean of its divisors is an integer number (4530075).

Almost surely, 2^123955328 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 123955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144962400).

123955328 is an abundant number, since it is smaller than the sum of its proper divisors (165969472).

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

123955328 is an equidigital number, since it uses as much as digits as its factorization.

123955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3785 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 123955328 is about 11133.5227129602. The cubic root of 123955328 is about 498.6032055642.

The spelling of 123955328 in words is "one hundred twenty-three million, nine hundred fifty-five thousand, three hundred twenty-eight".