13528020 has 96 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 3231360.

The previous prime is 13528013. The next prime is 13528027. The reversal of 13528020 is 2082531.

It is an interprime number because it is at equal distance from previous prime (13528013) and next prime (13528027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13528027) 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, 67881 + ... + 68079.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 2^13528020 is an apocalyptic number.

13528020 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 13528020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

13528020 is an abundant number, since it is smaller than the sum of its proper divisors (28404780).

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

13528020 is a wasteful number, since it uses less digits than its factorization.

13528020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13528020 is about 3678.0456767147. The cubic root of 13528020 is about 238.2747809065.

The spelling of 13528020 in words is "thirteen million, five hundred twenty-eight thousand, twenty".