13968528 has 60 divisors (see below), whose sum is σ = 41983920. Its totient is φ = 3990336.

The previous prime is 13968523. The next prime is 13968533. The reversal of 13968528 is 82586931.

It is an interprime number because it is at equal distance from previous prime (13968523) and next prime (13968533).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 13968528.

It is not an unprimeable number, because it can be changed into a prime (13968523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618 + ... + 5321.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 2^13968528 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 13968528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20991960).

13968528 is an abundant number, since it is smaller than the sum of its proper divisors (28015392).

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

13968528 is a wasteful number, since it uses less digits than its factorization.

13968528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5951 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 13968528 is about 3737.4493976508. The cubic root of 13968528 is about 240.8334909250.

The spelling of 13968528 in words is "thirteen million, nine hundred sixty-eight thousand, five hundred twenty-eight".