1828170000 has 500 divisors, whose sum is σ = 6901975036. Its totient is φ = 466560000.

The previous prime is 1828169989. The next prime is 1828170011. The reversal of 1828170000 is 718281.

1828170000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1828169989) and next prime (1828170011).

It can be written as a sum of positive squares in 10 ways, for example, as 1514455056 + 313714944 = 38916^2 + 17712^2 .

It is a tau number, because it is divible by the number of its divisors (500).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 29969970 + ... + 29970030.

Almost surely, 2^1828170000 is an apocalyptic number.

1828170000 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 1828170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450987518).

1828170000 is an abundant number, since it is smaller than the sum of its proper divisors (5073805036).

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

1828170000 is an equidigital number, since it uses as much as digits as its factorization.

1828170000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

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

The square root of 1828170000 is about 42757.1046727909. The cubic root of 1828170000 is about 1222.7533443105.

Adding to 1828170000 its reverse (718281), we get a palindrome (1828888281).

The spelling of 1828170000 in words is "one billion, eight hundred twenty-eight million, one hundred seventy thousand".