13026528 has 48 divisors (see below), whose sum is σ = 37996560. Its totient is φ = 4341888.

The previous prime is 13026521. The next prime is 13026569. The reversal of 13026528 is 82562031.

13026528 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 652 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13026521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6675 + ... + 8402.

It is an arithmetic number, because the mean of its divisors is an integer number (791595).

Almost surely, 2^13026528 is an apocalyptic number.

13026528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13026528 is an abundant number, since it is smaller than the sum of its proper divisors (24970032).

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

13026528 is a wasteful number, since it uses less digits than its factorization.

13026528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15096 (or 15082 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13026528 is about 3609.2281723382. The cubic root of 13026528 is about 235.2932990952.

Adding to 13026528 its reverse (82562031), we get a palindrome (95588559).

The spelling of 13026528 in words is "thirteen million, twenty-six thousand, five hundred twenty-eight".