8201628 has 24 divisors (see below), whose sum is σ = 21263760. Its totient is φ = 2733840.

The previous prime is 8201621. The next prime is 8201647. The reversal of 8201628 is 8261028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201621) 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 7 ways as a sum of consecutive naturals, for example, 37863 + ... + 38078.

It is an arithmetic number, because the mean of its divisors is an integer number (885990).

Almost surely, 2^8201628 is an apocalyptic number.

It is an amenable number.

8201628 is an abundant number, since it is smaller than the sum of its proper divisors (13062132).

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

8201628 is a wasteful number, since it uses less digits than its factorization.

8201628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75954 (or 75946 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8201628 is about 2863.8484596780. The cubic root of 8201628 is about 201.6663118026. Note that the first 3 decimals are identical.

The spelling of 8201628 in words is "eight million, two hundred one thousand, six hundred twenty-eight".