1928073910464 has 224 divisors, whose sum is σ = 6204267276480. Its totient is φ = 583527628800.

The previous prime is 1928073910463. The next prime is 1928073910481. The reversal of 1928073910464 is 4640193708291.

1928073910464 is a `hidden beast` number, since 1 + 9 + 28 + 0 + 73 + 91 + 0 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1928073910464.

It is not an unprimeable number, because it can be changed into a prime (1928073910463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666784 + ... + 2073824.

It is an arithmetic number, because the mean of its divisors is an integer number (27697621770).

Almost surely, 2^{1928073910464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1928073910464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102133638240).

1928073910464 is an abundant number, since it is smaller than the sum of its proper divisors (4276193366016).

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

1928073910464 is a wasteful number, since it uses less digits than its factorization.

1928073910464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407136 (or 1407120 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1928073910464 in words is "one trillion, nine hundred twenty-eight billion, seventy-three million, nine hundred ten thousand, four hundred sixty-four".