4038628 has 24 divisors (see below), whose sum is σ = 7761600. Its totient is φ = 1823520.

The previous prime is 4038613. The next prime is 4038631. The reversal of 4038628 is 8268304.

It is a happy number.

It is a super-2 number, since 2×4038628² = 32621032244768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4038628.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11398 + ... + 11746.

It is an arithmetic number, because the mean of its divisors is an integer number (323400).

Almost surely, 2^4038628 is an apocalyptic number.

It is an amenable number.

4038628 is a deficient number, since it is larger than the sum of its proper divisors (3722972).

4038628 is a wasteful number, since it uses less digits than its factorization.

4038628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4038628 is about 2009.6337974865. The cubic root of 4038628 is about 159.2494535049.

The spelling of 4038628 in words is "four million, thirty-eight thousand, six hundred twenty-eight".