123193728 has 96 divisors (see below), whose sum is σ = 405172560. Its totient is φ = 35195904.

The previous prime is 123193723. The next prime is 123193751. The reversal of 123193728 is 827391321.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123193692 and 123193701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123193723) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 426 + ... + 15702.

Almost surely, 2^123193728 is an apocalyptic number.

123193728 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 123193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202586280).

123193728 is an abundant number, since it is smaller than the sum of its proper divisors (281978832).

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

123193728 is a wasteful number, since it uses less digits than its factorization.

123193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 15289 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 123193728 is about 11099.2670028250. The cubic root of 123193728 is about 497.5799428784.

The spelling of 123193728 in words is "one hundred twenty-three million, one hundred ninety-three thousand, seven hundred twenty-eight".