1028393000 has 32 divisors (see below), whose sum is σ = 2406441960. Its totient is φ = 411356800.

The previous prime is 1028392957. The next prime is 1028393011. The reversal of 1028393000 is 3938201.

It can be written as a sum of positive squares in 4 ways, for example, as 61058596 + 967334404 = 7814^2 + 31102^2 .

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, 513197 + ... + 515196.

Almost surely, 2^1028393000 is an apocalyptic number.

1028393000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028393000 is an abundant number, since it is smaller than the sum of its proper divisors (1378048960).

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

1028393000 is a wasteful number, since it uses less digits than its factorization.

1028393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028414 (or 1028400 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1028393000 is about 32068.5671647487. The cubic root of 1028393000 is about 1009.3761464521.

The spelling of 1028393000 in words is "one billion, twenty-eight million, three hundred ninety-three thousand".