24128 has 28 divisors (see below), whose sum is σ = 53340. Its totient is φ = 10752.

The previous prime is 24121. The next prime is 24133. The reversal of 24128 is 82142.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 16384 = 88^2 + 128^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (24121) by changing a digit.

24128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 818 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (1905).

2²⁴¹²⁸ 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 24128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26670).

24128 is an abundant number, since it is smaller than the sum of its proper divisors (29212).

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

24128 is a wasteful number, since it uses less digits than its factorization.

24128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 44 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 24128 is about 155.3319027116. The cubic root of 24128 is about 28.8961804956.

It can be divided in two parts, 2 and 4128, that multiplied together give a triangular number (8256 = T₁₂₈).

The spelling of 24128 in words is "twenty-four thousand, one hundred twenty-eight".