1128265600 has 384 divisors, whose sum is σ = 3672979200. Its totient is φ = 331776000.

The previous prime is 1128265573. The next prime is 1128265603. The reversal of 1128265600 is 65628211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128265603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4681480 + ... + 4681720.

It is an arithmetic number, because the mean of its divisors is an integer number (9565050).

Almost surely, 2^1128265600 is an apocalyptic number.

1128265600 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 1128265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836489600).

1128265600 is an abundant number, since it is smaller than the sum of its proper divisors (2544713600).

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

1128265600 is a wasteful number, since it uses less digits than its factorization.

1128265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1128265600 is about 33589.6650772228. The cubic root of 1128265600 is about 1041.0472685296.

The spelling of 1128265600 in words is "one billion, one hundred twenty-eight million, two hundred sixty-five thousand, six hundred".