1748828761 has 27 divisors (see below), whose sum is σ = 1934416629. Its totient is φ = 1580758200.

The previous prime is 1748828749. The next prime is 1748828771. The reversal of 1748828761 is 1678288471.

The square root of 1748828761 is 41819.

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

It is not a de Polignac number, because 1748828761 - 2¹³ = 1748820569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1748828699 and 1748828708.

It is not an unprimeable number, because it can be changed into a prime (1748828771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24631356 + ... + 24631426.

Almost surely, 2^1748828761 is an apocalyptic number.

1748828761 is the 41819-th square number.

1748828761 is the 20910-th centered octagonal number.

It is an amenable number.

1748828761 is a deficient number, since it is larger than the sum of its proper divisors (185587868).

1748828761 is an frugal number, since it uses more digits than its factorization.

1748828761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 52.

The cubic root of 1748828761 is about 1204.8022289820.

The spelling of 1748828761 in words is "one billion, seven hundred forty-eight million, eight hundred twenty-eight thousand, seven hundred sixty-one".