1133083728 has 480 divisors, whose sum is σ = 4159733760. Its totient is φ = 291133440.

The previous prime is 1133083727. The next prime is 1133083747. The reversal of 1133083728 is 8273803311.

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 = 1133083692 and 1133083701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133083727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14342793 + ... + 14342871.

It is an arithmetic number, because the mean of its divisors is an integer number (8666112).

Almost surely, 2^1133083728 is an apocalyptic number.

1133083728 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 1133083728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079866880).

1133083728 is an abundant number, since it is smaller than the sum of its proper divisors (3026650032).

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

1133083728 is a wasteful number, since it uses less digits than its factorization.

1133083728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1133083728 is about 33661.3090654538. The cubic root of 1133083728 is about 1042.5270548333.

The spelling of 1133083728 in words is "one billion, one hundred thirty-three million, eighty-three thousand, seven hundred twenty-eight".