467728 has 40 divisors (see below), whose sum is σ = 999936. Its totient is φ = 211200.

The previous prime is 467713. The next prime is 467729. The reversal of 467728 is 827764.

It is a junction number, because it is equal to n+sod(n) for n = 467693 and 467702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11388 + ... + 11428.

2⁴⁶⁷⁷²⁸ 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 467728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

467728 is an abundant number, since it is smaller than the sum of its proper divisors (532208).

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

467728 is a wasteful number, since it uses less digits than its factorization.

467728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 467728 is about 683.9064263479. The cubic root of 467728 is about 77.6243166080.

The spelling of 467728 in words is "four hundred sixty-seven thousand, seven hundred twenty-eight".