28464 has 20 divisors (see below), whose sum is σ = 73656. Its totient is φ = 9472.

The previous prime is 28463. The next prime is 28477. The reversal of 28464 is 46482.

28464 = T₄₇ + T₄₈ + ... + T₆₄.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (28463) 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, 249 + ... + 344.

2²⁸⁴⁶⁴ is an apocalyptic number.

28464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28464 is an abundant number, since it is smaller than the sum of its proper divisors (45192).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828).

28464 is a wasteful number, since it uses less digits than its factorization.

28464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 28464 is about 168.7127736717. The cubic root of 28464 is about 30.5327070082.

It can be divided in two parts, 2846 and 4, that added together give a triangular number (2850 = T₇₅).

The spelling of 28464 in words is "twenty-eight thousand, four hundred sixty-four".