2028830720 has 256 divisors, whose sum is σ = 5850964800. Its totient is φ = 660602880.

The previous prime is 2028830719. The next prime is 2028830737. The reversal of 2028830720 is 270388202.

It is a tau number, because it is divible by the number of its divisors (256).

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33259490 + ... + 33259550.

Almost surely, 2^2028830720 is an apocalyptic number.

2028830720 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 2028830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925482400).

2028830720 is an abundant number, since it is smaller than the sum of its proper divisors (3822134080).

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

2028830720 is an frugal number, since it uses more digits than its factorization.

2028830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2028830720 is about 45042.5434450587. The cubic root of 2028830720 is about 1265.9462619455.

The spelling of 2028830720 in words is "two billion, twenty-eight million, eight hundred thirty thousand, seven hundred twenty".