1828915200000 has 1890 divisors, whose sum is σ = 7973774282502. Its totient is φ = 418037760000.

The previous prime is 1828915199989. The next prime is 1828915200011. The reversal of 1828915200000 is 25198281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1828915199989) and next prime (1828915200011).

It can be written as a sum of positive squares in 3 ways, for example, as 845105135616 + 983810064384 = 919296^2 + 991872^2 .

It is a tau number, because it is divible by the number of its divisors (1890).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 125 ways as a sum of consecutive naturals, for example, 261273599997 + ... + 261273600003.

Almost surely, 2^{1828915200000} is an apocalyptic number.

1828915200000 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 1828915200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986887141251).

1828915200000 is an abundant number, since it is smaller than the sum of its proper divisors (6144859082502).

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

1828915200000 is an frugal number, since it uses more digits than its factorization.

1828915200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

1828915200000 divided by its product of nonzero digits (11520) gives a square (158760000 = 12600²).

The spelling of 1828915200000 in words is "one trillion, eight hundred twenty-eight billion, nine hundred fifteen million, two hundred thousand".