3628848 has 80 divisors (see below), whose sum is σ = 10356480. Its totient is φ = 1089792.

The previous prime is 3628847. The next prime is 3628853. The reversal of 3628848 is 8488263.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3628841) 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 15 ways as a sum of consecutive naturals, for example, 20890 + ... + 21062.

It is an arithmetic number, because the mean of its divisors is an integer number (129456).

Almost surely, 2^3628848 is an apocalyptic number.

3628848 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3628848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178240).

3628848 is an abundant number, since it is smaller than the sum of its proper divisors (6727632).

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

3628848 is a wasteful number, since it uses less digits than its factorization.

3628848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 3628848 is about 1904.9535427406. The cubic root of 3628848 is about 153.6701773506.

The spelling of 3628848 in words is "three million, six hundred twenty-eight thousand, eight hundred forty-eight".