2828960640 has 640 divisors, whose sum is σ = 11383273440. Its totient is φ = 669081600.

The previous prime is 2828960639. The next prime is 2828960683. The reversal of 2828960640 is 460698282.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 68999020 + ... + 68999060.

Almost surely, 2^2828960640 is an apocalyptic number.

2828960640 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 2828960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691636720).

2828960640 is an abundant number, since it is smaller than the sum of its proper divisors (8554312800).

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

2828960640 is an equidigital number, since it uses as much as digits as its factorization.

2828960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2828960640 is about 53187.9745807264. The cubic root of 2828960640 is about 1414.3024759918.

The spelling of 2828960640 in words is "two billion, eight hundred twenty-eight million, nine hundred sixty thousand, six hundred forty".