3928 has 8 divisors (see below), whose sum is σ = 7380. Its totient is φ = 1960.

The previous prime is 3923. The next prime is 3929. The reversal of 3928 is 8293.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3899 and 3908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923) by changing a digit.

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 as a sum of consecutive naturals, namely, 238 + ... + 253.

2³⁹²⁸ is an apocalyptic number.

3928 is the 34-th centered heptagonal number.

It is an amenable number.

3928 is a deficient number, since it is larger than the sum of its proper divisors (3452).

3928 is a wasteful number, since it uses less digits than its factorization.

3928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 3928 is about 62.6737584640. The cubic root of 3928 is about 15.7781892080.

Adding to 3928 its reverse (8293), we get a palindrome (12221).

It can be divided in two parts, 392 and 8, that multiplied together give a square (3136 = 56²).

The spelling of 3928 in words is "three thousand, nine hundred twenty-eight".