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13428 = 2232373

13428 has 18 divisors (see below), whose sum is σ = 34034. Its totient is φ = 4464.

The previous prime is 13421. The next prime is 13441. The reversal of 13428 is 82431.

It is a happy number.

13428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 1764 = 108^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×134282 = 360622368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 13428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13421) by changing a digit.

13428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151 + ... + 222.

213428 is an apocalyptic number.

13428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13428 is an abundant number, since it is smaller than the sum of its proper divisors (20606).

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

13428 is a wasteful number, since it uses less digits than its factorization.

13428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 378 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13428 is about 115.8792474950. The cubic root of 13428 is about 23.7686096065.

Adding to 13428 its reverse (82431), we get a palindrome (95859).

It can be divided in two parts, 13 and 428, that added together give a square (441 = 212).

The spelling of 13428 in words is "thirteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 373 746 1119 1492 2238 3357 4476 6714 13428