7228857600 has 324 divisors, whose sum is σ = 26483807532. Its totient is φ = 1880064000.

The previous prime is 7228857593. The next prime is 7228857613. The reversal of 7228857600 is 67588227.

7228857600 is a `hidden beast` number, since 72 + 2 + 8 + 8 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 140564736 + 7088292864 = 11856^2 + 84192^2 .

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 35 ways as a sum of consecutive naturals, for example, 2360070 + ... + 2363130.

Almost surely, 2^7228857600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7228857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241903766).

7228857600 is an abundant number, since it is smaller than the sum of its proper divisors (19254949932).

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

7228857600 is a wasteful number, since it uses less digits than its factorization.

7228857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7228857600 is about 85022.6887365955. The cubic root of 7228857600 is about 1933.5551179046. Note that the first 3 decimals are identical.

The spelling of 7228857600 in words is "seven billion, two hundred twenty-eight million, eight hundred fifty-seven thousand, six hundred".