123628284 has 144 divisors (see below), whose sum is σ = 365994720. Its totient is φ = 34836480.

The previous prime is 123628259. The next prime is 123628313. The reversal of 123628284 is 482826321.

123628284 is a `hidden beast` number, since 1 + 2 + 3 + 628 + 28 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326007 + ... + 326385.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2^123628284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123628284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

123628284 is an abundant number, since it is smaller than the sum of its proper divisors (242366436).

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

123628284 is a wasteful number, since it uses less digits than its factorization.

123628284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 123628284 is about 11118.8256574154. The cubic root of 123628284 is about 498.1643140956.

The spelling of 123628284 in words is "one hundred twenty-three million, six hundred twenty-eight thousand, two hundred eighty-four".