1028566728 has 192 divisors, whose sum is σ = 3337488000. Its totient is φ = 287494272.

The previous prime is 1028566717. The next prime is 1028566769. The reversal of 1028566728 is 8276658201.

1028566728 is a `hidden beast` number, since 10 + 2 + 8 + 566 + 72 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9436338 + ... + 9436446.

It is an arithmetic number, because the mean of its divisors is an integer number (17382750).

Almost surely, 2^1028566728 is an apocalyptic number.

1028566728 is a gapful number since it is divisible by the number (18) 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 1028566728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668744000).

1028566728 is an abundant number, since it is smaller than the sum of its proper divisors (2308921272).

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

1028566728 is a wasteful number, since it uses less digits than its factorization.

1028566728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1028566728 is about 32071.2757463747. The cubic root of 1028566728 is about 1009.4329817364.

The spelling of 1028566728 in words is "one billion, twenty-eight million, five hundred sixty-six thousand, seven hundred twenty-eight".