2028565381320 has 256 divisors, whose sum is σ = 7206008832000. Its totient is φ = 506421704448.

The previous prime is 2028565381313. The next prime is 2028565381351. The reversal of 2028565381320 is 231835658202.

2028565381320 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 565 + 3 + 81 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298701 + ... + 2036259.

It is an arithmetic number, because the mean of its divisors is an integer number (28148472000).

Almost surely, 2^{2028565381320} is an apocalyptic number.

2028565381320 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 2028565381320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603004416000).

2028565381320 is an abundant number, since it is smaller than the sum of its proper divisors (5177443450680).

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

2028565381320 is a wasteful number, since it uses less digits than its factorization.

2028565381320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737649 (or 1737639 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2028565381320 in words is "two trillion, twenty-eight billion, five hundred sixty-five million, three hundred eighty-one thousand, three hundred twenty".