13528000 has 112 divisors (see below), whose sum is σ = 35661600. Its totient is φ = 5068800.

The previous prime is 13527989. The next prime is 13528001. The reversal of 13528000 is 82531.

It is a happy number.

13528000 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 (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13528001) 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, 151956 + ... + 152044.

Almost surely, 2^13528000 is an apocalyptic number.

13528000 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 13528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830800).

13528000 is an abundant number, since it is smaller than the sum of its proper divisors (22133600).

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

13528000 is an equidigital number, since it uses as much as digits as its factorization.

13528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 13528000 is about 3678.0429578786. The cubic root of 13528000 is about 238.2746634836.

The spelling of 13528000 in words is "thirteen million, five hundred twenty-eight thousand".