462828 has 12 divisors (see below), whose sum is σ = 1079960. Its totient is φ = 154272.

The previous prime is 462827. The next prime is 462841. The reversal of 462828 is 828264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 462795 and 462804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19273 + ... + 19296.

2⁴⁶²⁸²⁸ is an apocalyptic number.

It is an amenable number.

462828 is an abundant number, since it is smaller than the sum of its proper divisors (617132).

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

462828 is a wasteful number, since it uses less digits than its factorization.

462828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38576 (or 38574 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 462828 is about 680.3146330927. The cubic root of 462828 is about 77.3522958520.

It can be divided in two parts, 4628 and 28, that added together give a triangular number (4656 = T₉₆).

The spelling of 462828 in words is "four hundred sixty-two thousand, eight hundred twenty-eight".