4082628 has 48 divisors (see below), whose sum is σ = 10511424. Its totient is φ = 1223040.

The previous prime is 4082609. The next prime is 4082629. The reversal of 4082628 is 8262804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4082595 and 4082604.

It is not an unprimeable number, because it can be changed into a prime (4082629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20626 + ... + 20822.

It is an arithmetic number, because the mean of its divisors is an integer number (218988).

Almost surely, 2^4082628 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 4082628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255712).

4082628 is an abundant number, since it is smaller than the sum of its proper divisors (6428796).

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

4082628 is a wasteful number, since it uses less digits than its factorization.

4082628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4082628 is about 2020.5514098879. The cubic root of 4082628 is about 159.8256955980.

The spelling of 4082628 in words is "four million, eighty-two thousand, six hundred twenty-eight".