1131863328 has 96 divisors (see below), whose sum is σ = 3310372800. Its totient is φ = 376247808.

The previous prime is 1131863309. The next prime is 1131863333. The reversal of 1131863328 is 8233681311.

1131863328 is a `hidden beast` number, since 1 + 1 + 3 + 18 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1131863328² = 2562229186542471168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1131863292 and 1131863301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351775 + ... + 354977.

It is an arithmetic number, because the mean of its divisors is an integer number (34483050).

Almost surely, 2^1131863328 is an apocalyptic number.

1131863328 is a gapful number since it is divisible by the number (18) 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 1131863328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655186400).

1131863328 is an abundant number, since it is smaller than the sum of its proper divisors (2178509472).

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

1131863328 is a wasteful number, since it uses less digits than its factorization.

1131863328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3617 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1131863328 is about 33643.1765444347. The cubic root of 1131863328 is about 1042.1526320549.

The spelling of 1131863328 in words is "one billion, one hundred thirty-one million, eight hundred sixty-three thousand, three hundred twenty-eight".