24728740 has 48 divisors (see below), whose sum is σ = 54295920. Its totient is φ = 9451520.

The previous prime is 24728713. The next prime is 24728777. The reversal of 24728740 is 4782742.

It can be written as a sum of positive squares in 8 ways, for example, as 4153444 + 20575296 = 2038^2 + 4536^2 .

It is a super-2 number, since 2×24728740² = 1223021163975200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24728696 and 24728705.

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, 43176 + ... + 43744.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 2^24728740 is an apocalyptic number.

24728740 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 24728740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147960).

24728740 is an abundant number, since it is smaller than the sum of its proper divisors (29567180).

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

24728740 is a wasteful number, since it uses less digits than its factorization.

24728740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 24728740 is about 4972.8000160875. The cubic root of 24728740 is about 291.3403668822.

The spelling of 24728740 in words is "twenty-four million, seven hundred twenty-eight thousand, seven hundred forty".