1083952128 has 264 divisors, whose sum is σ = 3547041600. Its totient is φ = 292626432.

The previous prime is 1083952123. The next prime is 1083952139. The reversal of 1083952128 is 8212593801.

It is not an unprimeable number, because it can be changed into a prime (1083952123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859843 + ... + 2860221.

Almost surely, 2^1083952128 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 1083952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773520800).

1083952128 is an abundant number, since it is smaller than the sum of its proper divisors (2463089472).

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

1083952128 is a wasteful number, since it uses less digits than its factorization.

1083952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1083952128 is about 32923.4282540564. The cubic root of 1083952128 is about 1027.2355341402.

The spelling of 1083952128 in words is "one billion, eighty-three million, nine hundred fifty-two thousand, one hundred twenty-eight".