1928488642560 has 960 divisors, whose sum is σ = 7372965600000. Its totient is φ = 480719536128.

The previous prime is 1928488642559. The next prime is 1928488642573. The reversal of 1928488642560 is 652468848291.

1928488642560 is a `hidden beast` number, since 1 + 9 + 2 + 8 + 4 + 8 + 8 + 64 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1928488642560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1244988666 + ... + 1244990214.

It is an arithmetic number, because the mean of its divisors is an integer number (7680172500).

Almost surely, 2^{1928488642560} is an apocalyptic number.

1928488642560 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 1928488642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686482800000).

1928488642560 is an abundant number, since it is smaller than the sum of its proper divisors (5444476957440).

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

1928488642560 is a wasteful number, since it uses less digits than its factorization.

1928488642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 1928488642560 in words is "one trillion, nine hundred twenty-eight billion, four hundred eighty-eight million, six hundred forty-two thousand, five hundred sixty".