2792828160 has 504 divisors, whose sum is σ = 10415336904. Its totient is φ = 716636160.

The previous prime is 2792828089. The next prime is 2792828173. The reversal of 2792828160 is 618282972.

It can be written as a sum of positive squares in 4 ways, for example, as 15116544 + 2777711616 = 3888^2 + 52704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38257884 + ... + 38257956.

It is an arithmetic number, because the mean of its divisors is an integer number (20665351).

Almost surely, 2^2792828160 is an apocalyptic number.

2792828160 is a gapful number since it is divisible by the number (20) 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 2792828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207668452).

2792828160 is an abundant number, since it is smaller than the sum of its proper divisors (7622508744).

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

2792828160 is an frugal number, since it uses more digits than its factorization.

2792828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

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

The square root of 2792828160 is about 52847.2152530292. The cubic root of 2792828160 is about 1408.2553342032.

The spelling of 2792828160 in words is "two billion, seven hundred ninety-two million, eight hundred twenty-eight thousand, one hundred sixty".