1128395520 has 324 divisors, whose sum is σ = 4543812000. Its totient is φ = 257789952.

The previous prime is 1128395509. The next prime is 1128395531. The reversal of 1128395520 is 255938211.

1128395520 is a `hidden beast` number, since 1 + 128 + 3 + 9 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1128395509) and next prime (1128395531).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563481 + ... + 565479.

Almost surely, 2^1128395520 is an apocalyptic number.

1128395520 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 1128395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271906000).

1128395520 is an abundant number, since it is smaller than the sum of its proper divisors (3415416480).

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

1128395520 is a wasteful number, since it uses less digits than its factorization.

1128395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1128395520 is about 33591.5989497374. The cubic root of 1128395520 is about 1041.0872259267.

The spelling of 1128395520 in words is "one billion, one hundred twenty-eight million, three hundred ninety-five thousand, five hundred twenty".