1028121920 has 448 divisors, whose sum is σ = 3291840000. Its totient is φ = 303464448.

The previous prime is 1028121917. The next prime is 1028121947. The reversal of 1028121920 is 291218201.

1028121920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1028121920.

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, 35452466 + ... + 35452494.

Almost surely, 2^1028121920 is an apocalyptic number.

1028121920 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 1028121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645920000).

1028121920 is an abundant number, since it is smaller than the sum of its proper divisors (2263718080).

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

1028121920 is a wasteful number, since it uses less digits than its factorization.

1028121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 1028121920 is about 32064.3403175553. The cubic root of 1028121920 is about 1009.2874495787.

The spelling of 1028121920 in words is "one billion, twenty-eight million, one hundred twenty-one thousand, nine hundred twenty".