1027833728 has 64 divisors (see below), whose sum is σ = 2178128400. Its totient is φ = 481738752.

The previous prime is 1027833727. The next prime is 1027833739. The reversal of 1027833728 is 8273387201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027833727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233726 + ... + 238082.

Almost surely, 2^1027833728 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 1027833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089064200).

1027833728 is an abundant number, since it is smaller than the sum of its proper divisors (1150294672).

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

1027833728 is an equidigital number, since it uses as much as digits as its factorization.

1027833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 1027833728 is about 32059.8460383078. The cubic root of 1027833728 is about 1009.1931365908.

The spelling of 1027833728 in words is "one billion, twenty-seven million, eight hundred thirty-three thousand, seven hundred twenty-eight".