1828302000 has 320 divisors, whose sum is σ = 6818992128. Its totient is φ = 412800000.

The previous prime is 1828301989. The next prime is 1828302031. The reversal of 1828302000 is 2038281.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4241785 + ... + 4242215.

Almost surely, 2^1828302000 is an apocalyptic number.

1828302000 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 1828302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409496064).

1828302000 is an abundant number, since it is smaller than the sum of its proper divisors (4990690128).

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

1828302000 is a wasteful number, since it uses less digits than its factorization.

1828302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1828302000 is about 42758.6482480445. The cubic root of 1828302000 is about 1222.7827725652.

The spelling of 1828302000 in words is "one billion, eight hundred twenty-eight million, three hundred two thousand".