24780728 has 64 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 10080000.

The previous prime is 24780719. The next prime is 24780739. The reversal of 24780728 is 82708742.

It is a super-2 number, since 2×24780728² = 1228168960419968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24780691 and 24780700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98603 + ... + 98853.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^24780728 is an apocalyptic number.

24780728 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 24780728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

24780728 is an abundant number, since it is smaller than the sum of its proper divisors (31102792).

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

24780728 is a wasteful number, since it uses less digits than its factorization.

24780728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 24780728 is about 4978.0245077741. The cubic root of 24780728 is about 291.5443886164.

The spelling of 24780728 in words is "twenty-four million, seven hundred eighty thousand, seven hundred twenty-eight".