8123328 has 70 divisors (see below), whose sum is σ = 24095456. Its totient is φ = 2706048.

The previous prime is 8123327. The next prime is 8123341. The reversal of 8123328 is 8233218.

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

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 (8123321) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4401 + ... + 5967.

Almost surely, 2^8123328 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 8123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047728).

8123328 is an abundant number, since it is smaller than the sum of its proper divisors (15972128).

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

8123328 is a wasteful number, since it uses less digits than its factorization.

8123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1572 counting only the distinct ones).

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

The square root of 8123328 is about 2850.1452594561. The cubic root of 8123328 is about 201.0224969250.

It can be divided in two parts, 81 and 23328, that multiplied together give a 5-th power (1889568 = 18⁵).

The spelling of 8123328 in words is "eight million, one hundred twenty-three thousand, three hundred twenty-eight".