36428 has 12 divisors (see below), whose sum is σ = 72912. Its totient is φ = 15600.

The previous prime is 36389. The next prime is 36433. The reversal of 36428 is 82463.

It is a happy number.

36428 is an admirable number.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 364 and 28 contains 36428 itself.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36428.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 623 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (6076).

2³⁶⁴²⁸ is an apocalyptic number.

It is an amenable number.

36428 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456).

36428 is a wasteful number, since it uses less digits than its factorization.

36428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 36428 is about 190.8612061159. The cubic root of 36428 is about 33.1496114709.

It can be divided in two parts, 36 and 428, that added together give a palindrome (464).

The spelling of 36428 in words is "thirty-six thousand, four hundred twenty-eight".