13795328 has 32 divisors (see below), whose sum is σ = 27655770. Its totient is φ = 6881280.

The previous prime is 13795307. The next prime is 13795343. The reversal of 13795328 is 82359731.

It can be written as a sum of positive squares in only one way, i.e., 13778944 + 16384 = 3712^2 + 128^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13795328² = 380622149255168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13795291 and 13795300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32558 + ... + 32978.

Almost surely, 2^13795328 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 13795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827885).

13795328 is an abundant number, since it is smaller than the sum of its proper divisors (13860442).

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

13795328 is an frugal number, since it uses more digits than its factorization.

13795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 423 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 13795328 is about 3714.2062409080. The cubic root of 13795328 is about 239.8339592275.

The spelling of 13795328 in words is "thirteen million, seven hundred ninety-five thousand, three hundred twenty-eight".