1768290048 has 432 divisors, whose sum is σ = 6375317760. Its totient is φ = 481130496.

The previous prime is 1768290019. The next prime is 1768290059. The reversal of 1768290048 is 8400928671.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 1768289985 and 1768290012.

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, 7789711 + ... + 7789937.

It is an arithmetic number, because the mean of its divisors is an integer number (14757680).

Almost surely, 2^1768290048 is an apocalyptic number.

1768290048 is a gapful number since it is divisible by the number (18) 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 1768290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187658880).

1768290048 is an abundant number, since it is smaller than the sum of its proper divisors (4607027712).

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

1768290048 is a wasteful number, since it uses less digits than its factorization.

1768290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1768290048 is about 42051.0409859257. The cubic root of 1768290048 is about 1209.2548397893.

The spelling of 1768290048 in words is "one billion, seven hundred sixty-eight million, two hundred ninety thousand, forty-eight".