2005321428 has 192 divisors, whose sum is σ = 6200893440. Its totient is φ = 553305600.

The previous prime is 2005321421. The next prime is 2005321453. The reversal of 2005321428 is 8241235002.

2005321428 is a `hidden beast` number, since 200 + 5 + 32 + 1 + 428 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005321421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624475 + ... + 627677.

It is an arithmetic number, because the mean of its divisors is an integer number (32296320).

Almost surely, 2^2005321428 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 2005321428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100446720).

2005321428 is an abundant number, since it is smaller than the sum of its proper divisors (4195572012).

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

2005321428 is a wasteful number, since it uses less digits than its factorization.

2005321428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2005321428 is about 44780.8154012407. The cubic root of 2005321428 is about 1261.0374901623.

The spelling of 2005321428 in words is "two billion, five million, three hundred twenty-one thousand, four hundred twenty-eight".