468028 has 18 divisors (see below), whose sum is σ = 901208. Its totient is φ = 212520.

The previous prime is 468019. The next prime is 468029. The reversal of 468028 is 820864.

468028 is a nontrivial binomial coefficient, being equal to C(968, 2).

It is a junction number, because it is equal to n+sod(n) for n = 467987 and 468005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1 + ... + 967.

2⁴⁶⁸⁰²⁸ is an apocalyptic number.

468028 is the 967-th triangular number and also the 484-th hexagonal number.

468028 is the 323-rd centered nonagonal number.

It is an amenable number.

468028 is a deficient number, since it is larger than the sum of its proper divisors (433180).

468028 is a wasteful number, since it uses less digits than its factorization.

468028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 468028 is about 684.1257194405. The cubic root of 468028 is about 77.6409090990.

Subtracting 468028 from its reverse (820864), we obtain a square (352836 = 594²).

The spelling of 468028 in words is "four hundred sixty-eight thousand, twenty-eight".