1283183328 has 96 divisors (see below), whose sum is σ = 3858382080. Its totient is φ = 365783040.

The previous prime is 1283183327. The next prime is 1283183351. The reversal of 1283183328 is 8233813821.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283183323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328008 + ... + 331896.

It is an arithmetic number, because the mean of its divisors is an integer number (40191480).

Almost surely, 2^1283183328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283183328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929191040).

1283183328 is an abundant number, since it is smaller than the sum of its proper divisors (2575198752).

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

1283183328 is a wasteful number, since it uses less digits than its factorization.

1283183328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4392 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 1283183328 is about 35821.5483752448. The cubic root of 1283183328 is about 1086.6663933322. Note that the first 3 decimals are identical.

The spelling of 1283183328 in words is "one billion, two hundred eighty-three million, one hundred eighty-three thousand, three hundred twenty-eight".