467628 has 48 divisors (see below), whose sum is σ = 1317120. Its totient is φ = 126144.

The previous prime is 467627. The next prime is 467629. The reversal of 467628 is 826764.

It is an interprime number because it is at equal distance from previous prime (467627) and next prime (467629).

It is not an unprimeable number, because it can be changed into a prime (467627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450 + ... + 1742.

It is an arithmetic number, because the mean of its divisors is an integer number (27440).

2⁴⁶⁷⁶²⁸ 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 467628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560).

467628 is an abundant number, since it is smaller than the sum of its proper divisors (849492).

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

467628 is a wasteful number, since it uses less digits than its factorization.

467628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 467628 is about 683.8333130230. The cubic root of 467628 is about 77.6187842010.

The spelling of 467628 in words is "four hundred sixty-seven thousand, six hundred twenty-eight".