1028788320 has 576 divisors, whose sum is σ = 4169926656. Its totient is φ = 211599360.

The previous prime is 1028788279. The next prime is 1028788381. The reversal of 1028788320 is 238878201.

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 95 ways as a sum of consecutive naturals, for example, 12394999 + ... + 12395081.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2^1028788320 is an apocalyptic number.

1028788320 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 1028788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084963328).

1028788320 is an abundant number, since it is smaller than the sum of its proper divisors (3141138336).

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

1028788320 is a wasteful number, since it uses less digits than its factorization.

1028788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 1028788320 is about 32074.7302404868. The cubic root of 1028788320 is about 1009.5054664882.

The spelling of 1028788320 in words is "one billion, twenty-eight million, seven hundred eighty-eight thousand, three hundred twenty".