1928184965281 has 9 divisors (see below), whose sum is σ = 1937661024819. Its totient is φ = 1918755043800.

The previous prime is 1928184965261. The next prime is 1928184965299. The reversal of 1928184965281 is 1825694818291.

The square root of 1928184965281 is 1388591.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 461324865681 + 1466860099600 = 679209^2 + 1211140^2 .

It is not a de Polignac number, because 1928184965281 - 2⁵ = 1928184965249 is a prime.

It is a super-2 number, since 2×1928184965281² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1928184965251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 292989411 + ... + 292995991.

Almost surely, 2^{1928184965281} is an apocalyptic number.

1928184965281 is the 1388591-st square number.

1928184965281 is the 694296-th centered octagonal number.

It is an amenable number.

1928184965281 is a deficient number, since it is larger than the sum of its proper divisors (9476059538).

1928184965281 is an frugal number, since it uses more digits than its factorization.

1928184965281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13584 (or 6792 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 64.

Multiplying 1928184965281 by its sum of digits (64), we get a square (123403837777984 = 11108728²).

The spelling of 1928184965281 in words is "one trillion, nine hundred twenty-eight billion, one hundred eighty-four million, nine hundred sixty-five thousand, two hundred eighty-one".