247728 has 40 divisors (see below), whose sum is σ = 690928. Its totient is φ = 76032.

The previous prime is 247717. The next prime is 247729. The reversal of 247728 is 827742.

247728 = 72² + 73² + ... + 103².

247728 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×247728² = 122738323968, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 247695 and 247704.

It is not an unprimeable number, because it can be changed into a prime (247729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 822.

2²⁴⁷⁷²⁸ 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 247728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345464).

247728 is an abundant number, since it is smaller than the sum of its proper divisors (443200).

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

247728 is a wasteful number, since it uses less digits than its factorization.

247728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 247728 is about 497.7228144259. The cubic root of 247728 is about 62.8046354105.

The spelling of 247728 in words is "two hundred forty-seven thousand, seven hundred twenty-eight".