1071828000 has 288 divisors, whose sum is σ = 4006679040. Its totient is φ = 270604800.

The previous prime is 1071827993. The next prime is 1071828001. The reversal of 1071828000 is 8281701.

1071828000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1071828000² = 2297630523168000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071828001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683217 + ... + 684783.

It is an arithmetic number, because the mean of its divisors is an integer number (13912080).

Almost surely, 2^1071828000 is an apocalyptic number.

1071828000 is a gapful number since it is divisible by the number (10) 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 1071828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003339520).

1071828000 is an abundant number, since it is smaller than the sum of its proper divisors (2934851040).

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

1071828000 is a wasteful number, since it uses less digits than its factorization.

1071828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1071828000 is about 32738.7843390679. The cubic root of 1071828000 is about 1023.3912499155.

The spelling of 1071828000 in words is "one billion, seventy-one million, eight hundred twenty-eight thousand".