1028400307 has 16 divisors (see below), whose sum is σ = 1138894848. Its totient is φ = 920839680.

The previous prime is 1028400277. The next prime is 1028400323. The reversal of 1028400307 is 7030048201.

1028400307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1028400307 - 2⁷ = 1028400179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1028400367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216318 + ... + 221020.

It is an arithmetic number, because the mean of its divisors is an integer number (71180928).

Almost surely, 2^1028400307 is an apocalyptic number.

1028400307 is a deficient number, since it is larger than the sum of its proper divisors (110494541).

1028400307 is a wasteful number, since it uses less digits than its factorization.

1028400307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1028400307 is about 32068.6810923056. The cubic root of 1028400307 is about 1009.3785370732.

Adding to 1028400307 its reverse (7030048201), we get a palindrome (8058448508).

The spelling of 1028400307 in words is "one billion, twenty-eight million, four hundred thousand, three hundred seven".