1028882221920 has 384 divisors, whose sum is σ = 4120701742080. Its totient is φ = 234877501440.

The previous prime is 1028882221859. The next prime is 1028882221933. The reversal of 1028882221920 is 291222888201.

1028882221920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1028882221920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 24503664 + ... + 24545616.

It is an arithmetic number, because the mean of its divisors is an integer number (10730994120).

Almost surely, 2^{1028882221920} is an apocalyptic number.

1028882221920 is a gapful number since it is divisible by the number (10) 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 1028882221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060350871040).

1028882221920 is an abundant number, since it is smaller than the sum of its proper divisors (3091819520160).

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

1028882221920 is a wasteful number, since it uses less digits than its factorization.

1028882221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42795 (or 42781 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1028882221920 in words is "one trillion, twenty-eight billion, eight hundred eighty-two million, two hundred twenty-one thousand, nine hundred twenty".