1128393360 has 120 divisors (see below), whose sum is σ = 4012477560. Its totient is φ = 283201536.

The previous prime is 1128393307. The next prime is 1128393361. The reversal of 1128393360 is 633938211.

1128393360 is a `hidden beast` number, since 11 + 283 + 9 + 3 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251285904 + 877107456 = 15852^2 + 29616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (1128393361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33855 + ... + 58334.

It is an arithmetic number, because the mean of its divisors is an integer number (33437313).

Almost surely, 2^1128393360 is an apocalyptic number.

1128393360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1128393360 is an abundant number, since it is smaller than the sum of its proper divisors (2884084200).

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

1128393360 is a wasteful number, since it uses less digits than its factorization.

1128393360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92225 (or 92216 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1128393360 is about 33591.5667988262. The cubic root of 1128393360 is about 1041.0865616354.

It can be divided in two parts, 1128393 and 360, that added together give a triangular number (1128753 = T₁₅₀₂).

The spelling of 1128393360 in words is "one billion, one hundred twenty-eight million, three hundred ninety-three thousand, three hundred sixty".