123628400 has 120 divisors (see below), whose sum is σ = 345037440. Its totient is φ = 41690880.

The previous prime is 123628391. The next prime is 123628447. The reversal of 123628400 is 4826321.

It is a self number, because there is not a number n which added to its sum of digits gives 123628400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187271 + ... + 187929.

It is an arithmetic number, because the mean of its divisors is an integer number (2875312).

Almost surely, 2^123628400 is an apocalyptic number.

123628400 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 123628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172518720).

123628400 is an abundant number, since it is smaller than the sum of its proper divisors (221409040).

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

123628400 is a wasteful number, since it uses less digits than its factorization.

123628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 123628400 is about 11118.8308737924. The cubic root of 123628400 is about 498.1644699042.

The spelling of 123628400 in words is "one hundred twenty-three million, six hundred twenty-eight thousand, four hundred".