3827628 has 96 divisors (see below), whose sum is σ = 11665920. Its totient is φ = 1062720.

The previous prime is 3827627. The next prime is 3827639. The reversal of 3827628 is 8267283.

It is a happy number.

3827628 is a `hidden beast` number, since 3 + 8 + 27 + 628 = 666.

It is a super-2 number, since 2×3827628² = 29301472212768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3827592 and 3827601.

It is not an unprimeable number, because it can be changed into a prime (3827627) 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 31 ways as a sum of consecutive naturals, for example, 46075 + ... + 46157.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

Almost surely, 2^3827628 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 3827628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832960).

3827628 is an abundant number, since it is smaller than the sum of its proper divisors (7838292).

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

3827628 is a wasteful number, since it uses less digits than its factorization.

3827628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3827628 is about 1956.4324675286. The cubic root of 3827628 is about 156.4263485195.

The spelling of 3827628 in words is "three million, eight hundred twenty-seven thousand, six hundred twenty-eight".