30288800 has 36 divisors (see below), whose sum is σ = 73944486. Its totient is φ = 12115200.

The previous prime is 30288799. The next prime is 30288809. The reversal of 30288800 is 888203.

It can be written as a sum of positive squares in 3 ways, for example, as 28858384 + 1430416 = 5372^2 + 1196^2 .

It is a super-2 number, since 2×30288800² = 1834822810880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30288809) 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, 18131 + ... + 19730.

Almost surely, 2^30288800 is an apocalyptic number.

It is an amenable number.

30288800 is an abundant number, since it is smaller than the sum of its proper divisors (43655686).

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

30288800 is a wasteful number, since it uses less digits than its factorization.

30288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37881 (or 37868 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 30288800 is about 5503.5261423927. The cubic root of 30288800 is about 311.7171444768.

The spelling of 30288800 in words is "thirty million, two hundred eighty-eight thousand, eight hundred".