13004928 has 128 divisors (see below), whose sum is σ = 39657600. Its totient is φ = 4193280.

The previous prime is 13004921. The next prime is 13004933. The reversal of 13004928 is 82940031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (13004921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183133 + ... + 183203.

It is an arithmetic number, because the mean of its divisors is an integer number (309825).

Almost surely, 2^13004928 is an apocalyptic number.

13004928 is a gapful number since it is divisible by the number (18) 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 13004928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828800).

13004928 is an abundant number, since it is smaller than the sum of its proper divisors (26652672).

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

13004928 is an equidigital number, since it uses as much as digits as its factorization.

13004928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13004928 is about 3606.2346013536. The cubic root of 13004928 is about 235.1631762425.

Adding to 13004928 its reverse (82940031), we get a palindrome (95944959).

The spelling of 13004928 in words is "thirteen million, four thousand, nine hundred twenty-eight".