1782828124320 has 48 divisors (see below), whose sum is σ = 5615908593120. Its totient is φ = 475420833024.

The previous prime is 1782828124313. The next prime is 1782828124331. The reversal of 1782828124320 is 234218282871.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1782828124320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1782828124320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1857112150 + ... + 1857113109.

It is an arithmetic number, because the mean of its divisors is an integer number (116998095690).

Almost surely, 2^{1782828124320} is an apocalyptic number.

1782828124320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1782828124320 is an abundant number, since it is smaller than the sum of its proper divisors (3833080468800).

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

1782828124320 is a wasteful number, since it uses less digits than its factorization.

1782828124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714225277 (or 3714225269 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 1782828124320 in words is "one trillion, seven hundred eighty-two billion, eight hundred twenty-eight million, one hundred twenty-four thousand, three hundred twenty".