123395328 has 162 divisors, whose sum is σ = 414244194. Its totient is φ = 35223552.

The previous prime is 123395317. The next prime is 123395341. The reversal of 123395328 is 823593321.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 451584 = 11088^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123395292 and 123395301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112350 + ... + 113442.

Almost surely, 2^123395328 is an apocalyptic number.

123395328 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 123395328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207122097).

123395328 is an abundant number, since it is smaller than the sum of its proper divisors (290848866).

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

123395328 is a wasteful number, since it uses less digits than its factorization.

123395328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1105 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 123395328 is about 11108.3449712367. The cubic root of 123395328 is about 497.8512160168.

The spelling of 123395328 in words is "one hundred twenty-three million, three hundred ninety-five thousand, three hundred twenty-eight".