243397728 has 144 divisors (see below), whose sum is σ = 797116320. Its totient is φ = 69009408.

The previous prime is 243397699. The next prime is 243397751. The reversal of 243397728 is 827793342.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 316128 + ... + 316896.

It is an arithmetic number, because the mean of its divisors is an integer number (5535530).

Almost surely, 2^243397728 is an apocalyptic number.

243397728 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 243397728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398558160).

243397728 is an abundant number, since it is smaller than the sum of its proper divisors (553718592).

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

243397728 is a wasteful number, since it uses less digits than its factorization.

243397728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 938 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 243397728 is about 15601.2091839062. The cubic root of 243397728 is about 624.3654171321.

The spelling of 243397728 in words is "two hundred forty-three million, three hundred ninety-seven thousand, seven hundred twenty-eight".