1128001600 has 84 divisors (see below), whose sum is σ = 3027962448. Its totient is φ = 410176000.

The previous prime is 1128001549. The next prime is 1128001601. The reversal of 1128001600 is 61008211.

It is not an unprimeable number, because it can be changed into a prime (1128001601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14446 + ... + 49645.

It is an arithmetic number, because the mean of its divisors is an integer number (36047172).

Almost surely, 2^1128001600 is an apocalyptic number.

1128001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1128001600 is an abundant number, since it is smaller than the sum of its proper divisors (1899960848).

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

1128001600 is a wasteful number, since it uses less digits than its factorization.

1128001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64124 (or 64109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1128001600 is about 33585.7350671383. The cubic root of 1128001600 is about 1040.9660648609.

Adding to 1128001600 its reverse (61008211), we get a palindrome (1189009811).

The spelling of 1128001600 in words is "one billion, one hundred twenty-eight million, one thousand, six hundred".