1928895114960 has 240 divisors, whose sum is σ = 7079206455360. Its totient is φ = 466788034560.

The previous prime is 1928895114907. The next prime is 1928895114983. The reversal of 1928895114960 is 694115988291.

1928895114960 is a `hidden beast` number, since 1 + 9 + 28 + 8 + 9 + 511 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4292467 + ... + 4720493.

It is an arithmetic number, because the mean of its divisors is an integer number (29496693564).

Almost surely, 2^{1928895114960} is an apocalyptic number.

1928895114960 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 1928895114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539603227680).

1928895114960 is an abundant number, since it is smaller than the sum of its proper divisors (5150311340400).

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

1928895114960 is a wasteful number, since it uses less digits than its factorization.

1928895114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428626 (or 428617 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 1928895114960 in words is "one trillion, nine hundred twenty-eight billion, eight hundred ninety-five million, one hundred fourteen thousand, nine hundred sixty".