243725328 has 320 divisors, whose sum is σ = 925655040. Its totient is φ = 59443200.

The previous prime is 243725299. The next prime is 243725353. The reversal of 243725328 is 823527342.

It is a super-3 number, since 3×243725328³ (a number of 26 digits) contains 333 as substring.

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 = 243725292 and 243725301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565273 + ... + 565703.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^243725328 is an apocalyptic number.

243725328 is a gapful number since it is divisible by the number (28) 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 243725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462827520).

243725328 is an abundant number, since it is smaller than the sum of its proper divisors (681929712).

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

243725328 is a wasteful number, since it uses less digits than its factorization.

243725328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 243725328 is about 15611.7048396388. The cubic root of 243725328 is about 624.6454120926.

The spelling of 243725328 in words is "two hundred forty-three million, seven hundred twenty-five thousand, three hundred twenty-eight".