123035328 has 112 divisors (see below), whose sum is σ = 389595360. Its totient is φ = 37850112.

The previous prime is 123035327. The next prime is 123035333. The reversal of 123035328 is 823530321.

123035328 is a `hidden beast` number, since 123 + 0 + 3 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123035327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19726 + ... + 25202.

It is an arithmetic number, because the mean of its divisors is an integer number (3478530).

Almost surely, 2^123035328 is an apocalyptic number.

123035328 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 123035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194797680).

123035328 is an abundant number, since it is smaller than the sum of its proper divisors (266560032).

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

123035328 is a wasteful number, since it uses less digits than its factorization.

123035328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 123035328 is about 11092.1291013042. The cubic root of 123035328 is about 497.3665920077.

Adding to 123035328 its reverse (823530321), we get a palindrome (946565649).

The spelling of 123035328 in words is "one hundred twenty-three million, thirty-five thousand, three hundred twenty-eight".