1928520720720 has 320 divisors, whose sum is σ = 7400749178880. Its totient is φ = 457572672000.

The previous prime is 1928520720713. The next prime is 1928520720739. The reversal of 1928520720720 is 270270258291.

1928520720720 is a `hidden beast` number, since 19 + 28 + 520 + 7 + 20 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253245 + ... + 1980195.

It is an arithmetic number, because the mean of its divisors is an integer number (23127341184).

Almost surely, 2^{1928520720720} is an apocalyptic number.

1928520720720 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 1928520720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700374589440).

1928520720720 is an abundant number, since it is smaller than the sum of its proper divisors (5472228458160).

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

1928520720720 is a wasteful number, since it uses less digits than its factorization.

1928520720720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727031 (or 1727019 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1928520720720 in words is "one trillion, nine hundred twenty-eight billion, five hundred twenty million, seven hundred twenty thousand, seven hundred twenty".