24728960 has 32 divisors (see below), whose sum is σ = 59119200. Its totient is φ = 9891328.

The previous prime is 24728953. The next prime is 24728983. The reversal of 24728960 is 6982742.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×24728960² = 1223042925363200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18680 + ... + 19959.

It is an arithmetic number, because the mean of its divisors is an integer number (1847475).

Almost surely, 2^24728960 is an apocalyptic number.

24728960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24728960 is an abundant number, since it is smaller than the sum of its proper divisors (34390240).

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

24728960 is an equidigital number, since it uses as much as digits as its factorization.

24728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38658 (or 38646 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 24728960 is about 4972.8221363729. The cubic root of 24728960 is about 291.3412308525.

The spelling of 24728960 in words is "twenty-four million, seven hundred twenty-eight thousand, nine hundred sixty".