1828319706720 has 288 divisors, whose sum is σ = 6845853635712. Its totient is φ = 441556217856.

The previous prime is 1828319706713. The next prime is 1828319706727. The reversal of 1828319706720 is 276079138281.

It is a happy number.

1828319706720 is a `hidden beast` number, since 182 + 8 + 319 + 70 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1828319706713) and next prime (1828319706727).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828319706727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70777 + ... + 1913543.

It is an arithmetic number, because the mean of its divisors is an integer number (23770325124).

Almost surely, 2^{1828319706720} is an apocalyptic number.

1828319706720 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 1828319706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422926817856).

1828319706720 is an abundant number, since it is smaller than the sum of its proper divisors (5017533928992).

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

1828319706720 is a wasteful number, since it uses less digits than its factorization.

1828319706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842854 (or 1842843 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1828319706720 in words is "one trillion, eight hundred twenty-eight billion, three hundred nineteen million, seven hundred six thousand, seven hundred twenty".