1928689056000 has 2304 divisors, whose sum is σ = 8567799152640. Its totient is φ = 423263232000.

The previous prime is 1928689055927. The next prime is 1928689056043. The reversal of 1928689056000 is 6509868291.

It is a happy number.

1928689056000 is a `hidden beast` number, since 1 + 9 + 28 + 6 + 8 + 9 + 0 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1928689056000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 15186527937 + ... + 15186528063.

Almost surely, 2^{1928689056000} is an apocalyptic number.

1928689056000 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 1928689056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283899576320).

1928689056000 is an abundant number, since it is smaller than the sum of its proper divisors (6639110096640).

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

1928689056000 is an frugal number, since it uses more digits than its factorization.

1928689056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1928689056000 in words is "one trillion, nine hundred twenty-eight billion, six hundred eighty-nine million, fifty-six thousand".