8211728 has 40 divisors (see below), whose sum is σ = 18338112. Its totient is φ = 3489408.

The previous prime is 8211719. The next prime is 8211737. The reversal of 8211728 is 8271128.

It is an interprime number because it is at equal distance from previous prime (8211719) and next prime (8211737).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8211728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17351 + ... + 17817.

Almost surely, 2^8211728 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 8211728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169056).

8211728 is an abundant number, since it is smaller than the sum of its proper divisors (10126384).

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

8211728 is a wasteful number, since it uses less digits than its factorization.

8211728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its digits is 1792, while the sum is 29.

The square root of 8211728 is about 2865.6112785931. The cubic root of 8211728 is about 201.7490593672.

The spelling of 8211728 in words is "eight million, two hundred eleven thousand, seven hundred twenty-eight".