1082828000 has 96 divisors (see below), whose sum is σ = 2678090688. Its totient is φ = 430272000.

The previous prime is 1082827973. The next prime is 1082828009. The reversal of 1082828000 is 8282801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082828009) 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, 667190 + ... + 668810.

It is an arithmetic number, because the mean of its divisors is an integer number (27896778).

Almost surely, 2^1082828000 is an apocalyptic number.

1082828000 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 1082828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339045344).

1082828000 is an abundant number, since it is smaller than the sum of its proper divisors (1595262688).

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

1082828000 is a wasteful number, since it uses less digits than its factorization.

1082828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 1082828000 is about 32906.3519704023. The cubic root of 1082828000 is about 1026.8803082318.

The spelling of 1082828000 in words is "one billion, eighty-two million, eight hundred twenty-eight thousand".