3928968 has 48 divisors (see below), whose sum is σ = 10733580. Its totient is φ = 1298304.

The previous prime is 3928961. The next prime is 3928973. The reversal of 3928968 is 8698293.

It can be written as a sum of positive squares in 2 ways, for example, as 3849444 + 79524 = 1962^2 + 282^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (186624) is a multiple of the sum of its prime factors (486).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3928961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14046 + ... + 14322.

Almost surely, 2^3928968 is an apocalyptic number.

It is an amenable number.

3928968 is an abundant number, since it is smaller than the sum of its proper divisors (6804612).

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

3928968 is a wasteful number, since it uses less digits than its factorization.

3928968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 479 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3928968 is about 1982.1624555016. The cubic root of 3928968 is about 157.7948520539.

The spelling of 3928968 in words is "three million, nine hundred twenty-eight thousand, nine hundred sixty-eight".