1828918000 has 240 divisors, whose sum is σ = 5479845696. Its totient is φ = 578073600.

The previous prime is 1828917997. The next prime is 1828918009. The reversal of 1828918000 is 8198281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828918009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365614 + ... + 2366386.

Almost surely, 2^1828918000 is an apocalyptic number.

1828918000 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 1828918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739922848).

1828918000 is an abundant number, since it is smaller than the sum of its proper divisors (3650927696).

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

1828918000 is a wasteful number, since it uses less digits than its factorization.

1828918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The square root of 1828918000 is about 42765.8508625749. The cubic root of 1828918000 is about 1222.9200856949.

The spelling of 1828918000 in words is "one billion, eight hundred twenty-eight million, nine hundred eighteen thousand".