240828 has 48 divisors (see below), whose sum is σ = 666624. Its totient is φ = 66240.

The previous prime is 240811. The next prime is 240829. The reversal of 240828 is 828042.

It is a junction number, because it is equal to n+sod(n) for n = 240798 and 240807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3918 + ... + 3978.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2²⁴⁰⁸²⁸ is an apocalyptic number.

240828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312).

240828 is an abundant number, since it is smaller than the sum of its proper divisors (425796).

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

240828 is a wasteful number, since it uses less digits than its factorization.

240828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 240828 is about 490.7422948962. The cubic root of 240828 is about 62.2160344376.

It can be divided in two parts, 24082 and 8, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 240828 in words is "two hundred forty thousand, eight hundred twenty-eight".