4034628 has 72 divisors (see below), whose sum is σ = 11328408. Its totient is φ = 1202688.

The previous prime is 4034623. The next prime is 4034629. The reversal of 4034628 is 8264304.

4034628 is a `hidden beast` number, since 4 + 0 + 34 + 628 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 3755844 = 528^2 + 1938^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4034623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17200 + ... + 17432.

It is an arithmetic number, because the mean of its divisors is an integer number (157339).

Almost surely, 2^4034628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664204).

4034628 is an abundant number, since it is smaller than the sum of its proper divisors (7293780).

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

4034628 is a wasteful number, since it uses less digits than its factorization.

4034628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4034628 is about 2008.6383447500. The cubic root of 4034628 is about 159.1968607076.

It can be divided in two parts, 4034 and 628, that multiplied together give a palindrome (2533352).

The spelling of 4034628 in words is "four million, thirty-four thousand, six hundred twenty-eight".