2428893200 has 30 divisors (see below), whose sum is σ = 5835416874. Its totient is φ = 971557120.

The previous prime is 2428893193. The next prime is 2428893209. The reversal of 2428893200 is 23988242.

It can be written as a sum of positive squares in 3 ways, for example, as 521300224 + 1907592976 = 22832^2 + 43676^2 .

It is not an unprimeable number, because it can be changed into a prime (2428893209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3035717 + ... + 3036516.

Almost surely, 2^2428893200 is an apocalyptic number.

2428893200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2428893200 is an abundant number, since it is smaller than the sum of its proper divisors (3406523674).

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

2428893200 is a wasteful number, since it uses less digits than its factorization.

2428893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072251 (or 6072240 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 2428893200 is about 49283.8026130290. The cubic root of 2428893200 is about 1344.2172769706.

The spelling of 2428893200 in words is "two billion, four hundred twenty-eight million, eight hundred ninety-three thousand, two hundred".