2084828328 has 256 divisors, whose sum is σ = 6635520000. Its totient is φ = 600687360.

The previous prime is 2084828327. The next prime is 2084828329. The reversal of 2084828328 is 8238284802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2084828327) and next prime (2084828329).

It is not an unprimeable number, because it can be changed into a prime (2084828323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5443225 + ... + 5443607.

It is an arithmetic number, because the mean of its divisors is an integer number (25920000).

Almost surely, 2^2084828328 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 2084828328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317760000).

2084828328 is an abundant number, since it is smaller than the sum of its proper divisors (4550691672).

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

2084828328 is a wasteful number, since it uses less digits than its factorization.

2084828328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2084828328 is about 45659.9203678675. The cubic root of 2084828328 is about 1277.4878152133.

The spelling of 2084828328 in words is "two billion, eighty-four million, eight hundred twenty-eight thousand, three hundred twenty-eight".