4004628 has 12 divisors (see below), whose sum is σ = 9344160. Its totient is φ = 1334872.

The previous prime is 4004617. The next prime is 4004629. The reversal of 4004628 is 8264004.

4004628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4004598 and 4004607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166848 + ... + 166871.

It is an arithmetic number, because the mean of its divisors is an integer number (778680).

Almost surely, 2^4004628 is an apocalyptic number.

It is an amenable number.

4004628 is an abundant number, since it is smaller than the sum of its proper divisors (5339532).

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

4004628 is a wasteful number, since it uses less digits than its factorization.

4004628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333726 (or 333724 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4004628 is about 2001.1566655312. The cubic root of 4004628 is about 158.8013023684.

The spelling of 4004628 in words is "four million, four thousand, six hundred twenty-eight".