123968328 has 128 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 36034560.

The previous prime is 123968323. The next prime is 123968347. The reversal of 123968328 is 823869321.

It is a super-3 number, since 3×123968328³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 123968328.

It is not an unprimeable number, because it can be changed into a prime (123968323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203525 + ... + 1203627.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^123968328 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 123968328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

123968328 is an abundant number, since it is smaller than the sum of its proper divisors (228267192).

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

123968328 is a wasteful number, since it uses less digits than its factorization.

123968328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 123968328 is about 11134.1065200581. The cubic root of 123968328 is about 498.6206355400.

The spelling of 123968328 in words is "one hundred twenty-three million, nine hundred sixty-eight thousand, three hundred twenty-eight".