1128909600 has 432 divisors, whose sum is σ = 4902311232. Its totient is φ = 238049280.

The previous prime is 1128909589. The next prime is 1128909601. The reversal of 1128909600 is 69098211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1128909601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 654339 + ... + 656061.

Almost surely, 2^1128909600 is an apocalyptic number.

1128909600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1128909600 is the 16800-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451155616).

1128909600 is an abundant number, since it is smaller than the sum of its proper divisors (3773401632).

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

1128909600 is a wasteful number, since it uses less digits than its factorization.

1128909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1128909600 is about 33599.2499916293. The cubic root of 1128909600 is about 1041.2453031421.

The spelling of 1128909600 in words is "one billion, one hundred twenty-eight million, nine hundred nine thousand, six hundred".