13028580 has 96 divisors (see below), whose sum is σ = 42336000. Its totient is φ = 3320064.

The previous prime is 13028539. The next prime is 13028581. The reversal of 13028580 is 8582031.

It is a happy number.

13028580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13028581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11896 + ... + 12944.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 2^13028580 is an apocalyptic number.

13028580 is a gapful number since it is divisible by the number (10) 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 13028580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168000).

13028580 is an abundant number, since it is smaller than the sum of its proper divisors (29307420).

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

13028580 is a wasteful number, since it uses less digits than its factorization.

13028580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13028580 is about 3609.5124324485. The cubic root of 13028580 is about 235.3056532825.

The spelling of 13028580 in words is "thirteen million, twenty-eight thousand, five hundred eighty".