1928626562500 has 243 divisors, whose sum is σ = 4683636762133. Its totient is φ = 694375000000.

The previous prime is 1928626562479. The next prime is 1928626562501. The reversal of 1928626562500 is 52656268291.

The square root of 1928626562500 is 1388750.

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

It can be written as a sum of positive squares in 13 ways, for example, as 999932001156 + 928694561344 = 999966^2 + 963688^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1928626562501) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19095312450 + ... + 19095312550.

Almost surely, 2^{1928626562500} is an apocalyptic number.

1928626562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1928626562500 is the 1388750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1928626562500

1928626562500 is an abundant number, since it is smaller than the sum of its proper divisors (2755010199633).

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

1928626562500 is an frugal number, since it uses more digits than its factorization.

1928626562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 1928626562500 in words is "one trillion, nine hundred twenty-eight billion, six hundred twenty-six million, five hundred sixty-two thousand, five hundred".