2853328000 has 64 divisors (see below), whose sum is σ = 7094126520. Its totient is φ = 1141324800.

The previous prime is 2853327979. The next prime is 2853328007. The reversal of 2853328000 is 8233582.

It can be written as a sum of positive squares in 4 ways, for example, as 602015296 + 2251312704 = 24536^2 + 47448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2853328007) 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, 73167 + ... + 105166.

Almost surely, 2^2853328000 is an apocalyptic number.

2853328000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2853328000 is an abundant number, since it is smaller than the sum of its proper divisors (4240798520).

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

2853328000 is an equidigital number, since it uses as much as digits as its factorization.

2853328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178362 (or 178340 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2853328000 is about 53416.5517419461. The cubic root of 2853328000 is about 1418.3515884661.

The spelling of 2853328000 in words is "two billion, eight hundred fifty-three million, three hundred twenty-eight thousand".