231728448 has 84 divisors (see below), whose sum is σ = 713244192. Its totient is φ = 66205440.

The previous prime is 231728423. The next prime is 231728449. The reversal of 231728448 is 844827132.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×231728448² = 107396147224977408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231728449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2908 + ... + 21723.

Almost surely, 2^231728448 is an apocalyptic number.

231728448 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 231728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356622096).

231728448 is an abundant number, since it is smaller than the sum of its proper divisors (481515744).

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

231728448 is a wasteful number, since it uses less digits than its factorization.

231728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24660 (or 24643 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 231728448 is about 15222.6294706269. The cubic root of 231728448 is about 614.2235319477.

The spelling of 231728448 in words is "two hundred thirty-one million, seven hundred twenty-eight thousand, four hundred forty-eight".