13828275 has 36 divisors (see below), whose sum is σ = 25389000. Its totient is φ = 7190400.

The previous prime is 13828271. The next prime is 13828279. The reversal of 13828275 is 57282831.

13828275 is a `hidden beast` number, since 1 + 382 + 8 + 275 = 666.

13828275 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13828271) and next prime (13828279).

It is not a de Polignac number, because 13828275 - 2² = 13828271 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8476 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (705250).

Almost surely, 2^13828275 is an apocalyptic number.

13828275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13828275 is a deficient number, since it is larger than the sum of its proper divisors (11560725).

13828275 is a wasteful number, since it uses less digits than its factorization.

13828275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13828275 is about 3718.6388638855. The cubic root of 13828275 is about 240.0247370336.

The spelling of 13828275 in words is "thirteen million, eight hundred twenty-eight thousand, two hundred seventy-five".