13926528 has 192 divisors, whose sum is σ = 50281920. Its totient is φ = 3594240.

The previous prime is 13926503. The next prime is 13926559. The reversal of 13926528 is 82562931.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25920) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 13926492 and 13926501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88626 + ... + 88782.

It is an arithmetic number, because the mean of its divisors is an integer number (261885).

Almost surely, 2^13926528 is an apocalyptic number.

13926528 is a gapful number since it is divisible by the number (18) 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 13926528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25140960).

13926528 is an abundant number, since it is smaller than the sum of its proper divisors (36355392).

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

13926528 is a wasteful number, since it uses less digits than its factorization.

13926528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13926528 is about 3731.8263625201. The cubic root of 13926528 is about 240.5918724957.

The spelling of 13926528 in words is "thirteen million, nine hundred twenty-six thousand, five hundred twenty-eight".