2829192448 has 72 divisors (see below), whose sum is σ = 5839037568. Its totient is φ = 1367334912.

The previous prime is 2829192437. The next prime is 2829192449. The reversal of 2829192448 is 8442919282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829192449) 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, 997240 + ... + 1000072.

It is an arithmetic number, because the mean of its divisors is an integer number (81097744).

Almost surely, 2^2829192448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919518784).

2829192448 is an abundant number, since it is smaller than the sum of its proper divisors (3009845120).

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

2829192448 is an equidigital number, since it uses as much as digits as its factorization.

2829192448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2965 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

The square root of 2829192448 is about 53190.1536752809. The cubic root of 2829192448 is about 1414.3411047458.

The spelling of 2829192448 in words is "two billion, eight hundred twenty-nine million, one hundred ninety-two thousand, four hundred forty-eight".