1928406314064 has 80 divisors (see below), whose sum is σ = 5058347356160. Its totient is φ = 632922871680.

The previous prime is 1928406314039. The next prime is 1928406314099. The reversal of 1928406314064 is 4604136048291.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7066719 + ... + 7334529.

It is an arithmetic number, because the mean of its divisors is an integer number (63229341952).

Almost surely, 2^{1928406314064} 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 1928406314064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529173678080).

1928406314064 is an abundant number, since it is smaller than the sum of its proper divisors (3129941042096).

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

1928406314064 is a wasteful number, since it uses less digits than its factorization.

1928406314064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270128 (or 270122 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 1928406314064 in words is "one trillion, nine hundred twenty-eight billion, four hundred six million, three hundred fourteen thousand, sixty-four".