24128928 has 144 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 7693056.

The previous prime is 24128903. The next prime is 24128941. The reversal of 24128928 is 82982142.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 24128892 and 24128901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225451 + ... + 225557.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^24128928 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 24128928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

24128928 is an abundant number, since it is smaller than the sum of its proper divisors (50170752).

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

24128928 is a wasteful number, since it uses less digits than its factorization.

24128928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 24128928 is about 4912.1205196941. The cubic root of 24128928 is about 288.9655095472.

The spelling of 24128928 in words is "twenty-four million, one hundred twenty-eight thousand, nine hundred twenty-eight".