1128115296 has 384 divisors, whose sum is σ = 4242309120. Its totient is φ = 283046400.

The previous prime is 1128115213. The next prime is 1128115337. The reversal of 1128115296 is 6925118211.

1128115296 is a `hidden beast` number, since 1 + 128 + 1 + 1 + 529 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1128115296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2062095 + ... + 2062641.

It is an arithmetic number, because the mean of its divisors is an integer number (11047680).

Almost surely, 2^1128115296 is an apocalyptic number.

1128115296 is a gapful number since it is divisible by the number (16) 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 1128115296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121154560).

1128115296 is an abundant number, since it is smaller than the sum of its proper divisors (3114193824).

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

1128115296 is a wasteful number, since it uses less digits than its factorization.

1128115296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 1128115296 is about 33587.4276478566. The cubic root of 1128115296 is about 1041.0010381273.

The spelling of 1128115296 in words is "one billion, one hundred twenty-eight million, one hundred fifteen thousand, two hundred ninety-six".