1133821728 has 72 divisors (see below), whose sum is σ = 3472340508. Its totient is φ = 348867072.

The previous prime is 1133821723. The next prime is 1133821753. The reversal of 1133821728 is 8271283311.

It can be written as a sum of positive squares in 2 ways, for example, as 959264784 + 174556944 = 30972^2 + 13212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1133821692 and 1133821701.

It is not an unprimeable number, because it can be changed into a prime (1133821723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147675 + ... + 155162.

Almost surely, 2^1133821728 is an apocalyptic number.

1133821728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1133821728 is an abundant number, since it is smaller than the sum of its proper divisors (2338518780).

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

1133821728 is a wasteful number, since it uses less digits than its factorization.

1133821728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302866 (or 302855 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 1133821728 is about 33672.2694215878. The cubic root of 1133821728 is about 1042.7533452563.

The spelling of 1133821728 in words is "one billion, one hundred thirty-three million, eight hundred twenty-one thousand, seven hundred twenty-eight".