123728000 has 256 divisors, whose sum is σ = 362793600. Its totient is φ = 41472000.

The previous prime is 123727997. The next prime is 123728021. The reversal of 123728000 is 827321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3343982 + ... + 3344018.

Almost surely, 2^123728000 is an apocalyptic number.

123728000 is a gapful number since it is divisible by the number (10) 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 123728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181396800).

123728000 is an abundant number, since it is smaller than the sum of its proper divisors (239065600).

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

123728000 is a wasteful number, since it uses less digits than its factorization.

123728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 123728000 is about 11123.3088602268. The cubic root of 123728000 is about 498.2982144230.

The spelling of 123728000 in words is "one hundred twenty-three million, seven hundred twenty-eight thousand".