1028068000 has 48 divisors (see below), whose sum is σ = 2525972904. Its totient is φ = 411225600.

The previous prime is 1028067949. The next prime is 1028068021. The reversal of 1028068000 is 8608201.

It can be written as a sum of positive squares in 4 ways, for example, as 64834704 + 963233296 = 8052^2 + 31036^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124509 + ... + 132508.

Almost surely, 2^1028068000 is an apocalyptic number.

1028068000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028068000 is an abundant number, since it is smaller than the sum of its proper divisors (1497904904).

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

1028068000 is an equidigital number, since it uses as much as digits as its factorization.

1028068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257042 (or 257024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1028068000 is about 32063.4994970917. The cubic root of 1028068000 is about 1009.2698051957.

The spelling of 1028068000 in words is "one billion, twenty-eight million, sixty-eight thousand".