1792248016 has 40 divisors (see below), whose sum is σ = 3751678280. Its totient is φ = 824518656.

The previous prime is 1792248011. The next prime is 1792248019. The reversal of 1792248016 is 6108422971.

It can be written as a sum of positive squares in 4 ways, for example, as 94478400 + 1697769616 = 9720^2 + 41204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1792248016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1792248011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51340 + ... + 78868.

It is an arithmetic number, because the mean of its divisors is an integer number (93791957).

Almost surely, 2^1792248016 is an apocalyptic number.

1792248016 is a gapful number since it is divisible by the number (16) 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 1792248016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875839140).

1792248016 is an abundant number, since it is smaller than the sum of its proper divisors (1959430264).

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

1792248016 is a wasteful number, since it uses less digits than its factorization.

1792248016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27863 (or 27857 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1792248016 is about 42334.9502893295. The cubic root of 1792248016 is about 1214.6916220768.

The spelling of 1792248016 in words is "one billion, seven hundred ninety-two million, two hundred forty-eight thousand, sixteen".