13253928 has 64 divisors (see below), whose sum is σ = 34776000. Its totient is φ = 4204032.

The previous prime is 13253923. The next prime is 13253951. The reversal of 13253928 is 82935231.

It is not an unprimeable number, because it can be changed into a prime (13253923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95283 + ... + 95421.

It is an arithmetic number, because the mean of its divisors is an integer number (543375).

Almost surely, 2^13253928 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 13253928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388000).

13253928 is an abundant number, since it is smaller than the sum of its proper divisors (21522072).

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

13253928 is a wasteful number, since it uses less digits than its factorization.

13253928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 13253928 is about 3640.5944569534. The cubic root of 13253928 is about 236.6545555750.

It can be divided in two parts, 1325 and 3928, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 13253928 in words is "thirteen million, two hundred fifty-three thousand, nine hundred twenty-eight".