8213328 has 30 divisors (see below), whose sum is σ = 22986314. Its totient is φ = 2737728.

The previous prime is 8213321. The next prime is 8213333. The reversal of 8213328 is 8233128.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 3069504 = 2268^2 + 1752^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28375 + ... + 28662.

Almost surely, 2^8213328 is an apocalyptic number.

It is an amenable number.

8213328 is an abundant number, since it is smaller than the sum of its proper divisors (14772986).

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

8213328 is a wasteful number, since it uses less digits than its factorization.

8213328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57051 (or 57042 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8213328 is about 2865.8904375429. The cubic root of 8213328 is about 201.7621616656.

The spelling of 8213328 in words is "eight million, two hundred thirteen thousand, three hundred twenty-eight".