264828 has 24 divisors (see below), whose sum is σ = 640080. Its totient is φ = 85120.

The previous prime is 264827. The next prime is 264829. The reversal of 264828 is 828462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (264827) and next prime (264829).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 264795 and 264804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (26670).

2²⁶⁴⁸²⁸ 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 264828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320040).

264828 is an abundant number, since it is smaller than the sum of its proper divisors (375252).

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

264828 is a wasteful number, since it uses less digits than its factorization.

264828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

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

The square root of 264828 is about 514.6144187642. The cubic root of 264828 is about 64.2176832336.

The spelling of 264828 in words is "two hundred sixty-four thousand, eight hundred twenty-eight".