2183328 has 144 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 590976.

The previous prime is 2183303. The next prime is 2183339. The reversal of 2183328 is 8233812.

2183328 = 39³ + 40³ + ... + 57³.

It is a tau number, because it is divible by the number of its divisors (144).

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.

Its product of digits (2304) is a multiple of the sum of its prime factors (64).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114903 + ... + 114921.

It is an arithmetic number, because the mean of its divisors is an integer number (53340).

2^2183328 is an apocalyptic number.

2183328 is a gapful number since it is divisible by the number (28) 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 2183328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

2183328 is an abundant number, since it is smaller than the sum of its proper divisors (5497632).

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

2183328 is a wasteful number, since it uses less digits than its factorization.

2183328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

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

The square root of 2183328 is about 1477.6088792370. The cubic root of 2183328 is about 129.7297739865.

The spelling of 2183328 in words is "two million, one hundred eighty-three thousand, three hundred twenty-eight".