123845328 has 80 divisors (see below), whose sum is σ = 357090240. Its totient is φ = 41095296.

The previous prime is 123845269. The next prime is 123845333. The reversal of 123845328 is 823548321.

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 = 123845292 and 123845301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121750 + ... + 122762.

It is an arithmetic number, because the mean of its divisors is an integer number (4463628).

Almost surely, 2^123845328 is an apocalyptic number.

123845328 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 123845328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178545120).

123845328 is an abundant number, since it is smaller than the sum of its proper divisors (233244912).

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

123845328 is a wasteful number, since it uses less digits than its factorization.

123845328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 123845328 is about 11128.5815807766. The cubic root of 123845328 is about 498.4556723484.

The spelling of 123845328 in words is "one hundred twenty-three million, eight hundred forty-five thousand, three hundred twenty-eight".