1028728320 has 80 divisors (see below), whose sum is σ = 3288740400. Its totient is φ = 274325504.

The previous prime is 1028728247. The next prime is 1028728331. The reversal of 1028728320 is 238278201.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 59295 + ... + 74654.

It is an arithmetic number, because the mean of its divisors is an integer number (41109255).

Almost surely, 2^1028728320 is an apocalyptic number.

1028728320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028728320 is an abundant number, since it is smaller than the sum of its proper divisors (2260012080).

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

1028728320 is an equidigital number, since it uses as much as digits as its factorization.

1028728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133975 (or 133959 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1028728320 is about 32073.7949111108. The cubic root of 1028728320 is about 1009.4858409720.

The spelling of 1028728320 in words is "one billion, twenty-eight million, seven hundred twenty-eight thousand, three hundred twenty".