13028004 has 72 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 3904320.

The previous prime is 13027997. The next prime is 13028009. The reversal of 13028004 is 40082031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13028009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66034 + ... + 66230.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 2^13028004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13028004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

13028004 is an abundant number, since it is smaller than the sum of its proper divisors (23296284).

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

13028004 is a wasteful number, since it uses less digits than its factorization.

13028004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13028004 is about 3609.4326423969. The cubic root of 13028004 is about 235.3021855714.

The spelling of 13028004 in words is "thirteen million, twenty-eight thousand, four".