24728040 has 96 divisors (see below), whose sum is σ = 81081000. Its totient is φ = 6535680.

The previous prime is 24728029. The next prime is 24728071. The reversal of 24728040 is 4082742.

It can be written as a sum of positive squares in 4 ways, for example, as 12659364 + 12068676 = 3558^2 + 3474^2 .

It is a super-2 number, since 2×24728040² = 1222951924483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24727995 and 24728013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53410 + ... + 53870.

Almost surely, 2^24728040 is an apocalyptic number.

24728040 is a gapful number since it is divisible by the number (20) 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 24728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40540500).

24728040 is an abundant number, since it is smaller than the sum of its proper divisors (56352960).

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

24728040 is a wasteful number, since it uses less digits than its factorization.

24728040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 24728040 is about 4972.7296327068. The cubic root of 24728040 is about 291.3376178517.

The spelling of 24728040 in words is "twenty-four million, seven hundred twenty-eight thousand, forty".