2828943360 has 240 divisors, whose sum is σ = 10066022400. Its totient is φ = 753795072.

The previous prime is 2828943331. The next prime is 2828943371. The reversal of 2828943360 is 633498282.

2828943360 is a `hidden beast` number, since 2 + 8 + 289 + 4 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211201 + ... + 2212479.

It is an arithmetic number, because the mean of its divisors is an integer number (41941760).

Almost surely, 2^2828943360 is an apocalyptic number.

2828943360 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 2828943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033011200).

2828943360 is an abundant number, since it is smaller than the sum of its proper divisors (7237079040).

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

2828943360 is an equidigital number, since it uses as much as digits as its factorization.

2828943360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2828943360 is about 53187.8121377445. The cubic root of 2828943360 is about 1414.2995963481.

The spelling of 2828943360 in words is "two billion, eight hundred twenty-eight million, nine hundred forty-three thousand, three hundred sixty".