2828482020 has 432 divisors, whose sum is σ = 10935025920. Its totient is φ = 579032064.

The previous prime is 2828481979. The next prime is 2828482037. The reversal of 2828482020 is 202848282.

2828482020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7878601 + ... + 7878959.

It is an arithmetic number, because the mean of its divisors is an integer number (25312560).

Almost surely, 2^2828482020 is an apocalyptic number.

2828482020 is a gapful number since it is divisible by the number (20) 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 2828482020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467512960).

2828482020 is an abundant number, since it is smaller than the sum of its proper divisors (8106543900).

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

2828482020 is a wasteful number, since it uses less digits than its factorization.

2828482020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2828482020 is about 53183.4750650989. The cubic root of 2828482020 is about 1414.2227115229. Note that the first 3 decimals are identical.

The spelling of 2828482020 in words is "two billion, eight hundred twenty-eight million, four hundred eighty-two thousand, twenty".