1028330640 has 200 divisors, whose sum is σ = 3668928120. Its totient is φ = 266747904.

The previous prime is 1028330617. The next prime is 1028330671. The reversal of 1028330640 is 460338201.

It is a happy number.

1028330640 is a `hidden beast` number, since 10 + 2 + 8 + 3 + 3 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 549246096 + 479084544 = 23436^2 + 21888^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 237616 + ... + 241904.

Almost surely, 2^1028330640 is an apocalyptic number.

1028330640 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 1028330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834464060).

1028330640 is an abundant number, since it is smaller than the sum of its proper divisors (2640597480).

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

1028330640 is a wasteful number, since it uses less digits than its factorization.

1028330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1028330640 is about 32067.5948583613. The cubic root of 1028330640 is about 1009.3557437562.

Adding to 1028330640 its reverse (460338201), we get a palindrome (1488668841).

The spelling of 1028330640 in words is "one billion, twenty-eight million, three hundred thirty thousand, six hundred forty".