1822428000 has 576 divisors, whose sum is σ = 7064838144. Its totient is φ = 443520000.

The previous prime is 1822427989. The next prime is 1822428001. The reversal of 1822428000 is 8242281.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822428001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25667965 + ... + 25668035.

It is an arithmetic number, because the mean of its divisors is an integer number (12265344).

Almost surely, 2^1822428000 is an apocalyptic number.

1822428000 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 1822428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532419072).

1822428000 is an abundant number, since it is smaller than the sum of its proper divisors (5242410144).

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

1822428000 is a wasteful number, since it uses less digits than its factorization.

1822428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1822428000 is about 42689.9051299016. The cubic root of 1822428000 is about 1221.4718418182.

The spelling of 1822428000 in words is "one billion, eight hundred twenty-two million, four hundred twenty-eight thousand".