2788227200 has 288 divisors, whose sum is σ = 7990374000. Its totient is φ = 958003200.

The previous prime is 2788227193. The next prime is 2788227259. The reversal of 2788227200 is 27228872.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7356611 + ... + 7356989.

Almost surely, 2^2788227200 is an apocalyptic number.

2788227200 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 2788227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995187000).

2788227200 is an abundant number, since it is smaller than the sum of its proper divisors (5202146800).

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

2788227200 is a wasteful number, since it uses less digits than its factorization.

2788227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 2788227200 is about 52803.6665393607. Note that the first 3 decimals coincide. The cubic root of 2788227200 is about 1407.4815799766.

The spelling of 2788227200 in words is "two billion, seven hundred eighty-eight million, two hundred twenty-seven thousand, two hundred".