123628000 has 96 divisors (see below), whose sum is σ = 313867008. Its totient is φ = 47808000.

The previous prime is 123627991. The next prime is 123628007. The reversal of 123628000 is 826321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123628007) 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, 123502 + ... + 124498.

It is an arithmetic number, because the mean of its divisors is an integer number (3269448).

Almost surely, 2^123628000 is an apocalyptic number.

123628000 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 123628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156933504).

123628000 is an abundant number, since it is smaller than the sum of its proper divisors (190239008).

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

123628000 is an equidigital number, since it uses as much as digits as its factorization.

123628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 123628000 is about 11118.8128862752. The cubic root of 123628000 is about 498.1639326328.

The spelling of 123628000 in words is "one hundred twenty-three million, six hundred twenty-eight thousand".