1128397536 has 288 divisors, whose sum is σ = 3915475200. Its totient is φ = 301086720.

The previous prime is 1128397513. The next prime is 1128397541. The reversal of 1128397536 is 6357938211.

1128397536 is a `hidden beast` number, since 1 + 1 + 28 + 3 + 97 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1128397491 and 1128397500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3408891 + ... + 3409221.

It is an arithmetic number, because the mean of its divisors is an integer number (13595400).

Almost surely, 2^1128397536 is an apocalyptic number.

1128397536 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 1128397536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957737600).

1128397536 is an abundant number, since it is smaller than the sum of its proper divisors (2787077664).

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

1128397536 is a wasteful number, since it uses less digits than its factorization.

1128397536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1128397536 is about 33591.6289572268. The cubic root of 1128397536 is about 1041.0878459311.

The spelling of 1128397536 in words is "one billion, one hundred twenty-eight million, three hundred ninety-seven thousand, five hundred thirty-six".