1828210000 has 50 divisors (see below), whose sum is σ = 4426303442. Its totient is φ = 731280000.

The previous prime is 1828209991. The next prime is 1828210019. The reversal of 1828210000 is 128281.

It can be written as a sum of positive squares in 5 ways, for example, as 820020496 + 1008189504 = 28636^2 + 31752^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81411 + ... + 101410.

Almost surely, 2^1828210000 is an apocalyptic number.

1828210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828210000 is an abundant number, since it is smaller than the sum of its proper divisors (2598093442).

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

1828210000 is an equidigital number, since it uses as much as digits as its factorization.

1828210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182849 (or 182828 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1828210000 is about 42757.5724287523. The cubic root of 1828210000 is about 1222.7622621130.

Adding to 1828210000 its reverse (128281), we get a palindrome (1828338281).

It can be divided in two parts, 18282 and 10000, that added together give a palindrome (28282).

The spelling of 1828210000 in words is "one billion, eight hundred twenty-eight million, two hundred ten thousand".