2828876480 has 84 divisors (see below), whose sum is σ = 6961327200. Its totient is φ = 1094929920.

The previous prime is 2828876473. The next prime is 2828876489. The reversal of 2828876480 is 846788282.

It is a happy number.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2828876489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302921 + ... + 312119.

Almost surely, 2^2828876480 is an apocalyptic number.

2828876480 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 2828876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480663600).

2828876480 is an abundant number, since it is smaller than the sum of its proper divisors (4132450720).

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

2828876480 is an equidigital number, since it uses as much as digits as its factorization.

2828876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9278 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 53.

The square root of 2828876480 is about 53187.1834185643. The cubic root of 2828876480 is about 1414.2884509497.

The spelling of 2828876480 in words is "two billion, eight hundred twenty-eight million, eight hundred seventy-six thousand, four hundred eighty".