4205328 has 40 divisors (see below), whose sum is σ = 11011200. Its totient is φ = 1382784.

The previous prime is 4205323. The next prime is 4205347. The reversal of 4205328 is 8235024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 4¹¹ + 2⁹ + 0 + 5³ + 3⁷ + 2¹³ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 4205298 and 4205307.

It is not an unprimeable number, because it can be changed into a prime (4205321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3238 + ... + 4346.

It is an arithmetic number, because the mean of its divisors is an integer number (275280).

Almost surely, 2^4205328 is an apocalyptic number.

4205328 is a gapful number since it is divisible by the number (48) 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 4205328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505600).

4205328 is an abundant number, since it is smaller than the sum of its proper divisors (6805872).

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

4205328 is a wasteful number, since it uses less digits than its factorization.

4205328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4205328 is about 2050.6896400967. The cubic root of 4205328 is about 161.4110607561.

The spelling of 4205328 in words is "four million, two hundred five thousand, three hundred twenty-eight".