467928 has 48 divisors (see below), whose sum is σ = 1299480. Its totient is φ = 152064.

The previous prime is 467927. The next prime is 467941. The reversal of 467928 is 829764.

It is a super-2 number, since 2×467928² = 437913226368, which contains 22 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 = 467892 and 467901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467927) 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, 4776 + ... + 4872.

2⁴⁶⁷⁹²⁸ 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 467928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649740).

467928 is an abundant number, since it is smaller than the sum of its proper divisors (831552).

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

467928 is a wasteful number, since it uses less digits than its factorization.

467928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 467928 is about 684.0526295542. The cubic root of 467928 is about 77.6353790567.

The spelling of 467928 in words is "four hundred sixty-seven thousand, nine hundred twenty-eight".