228729600 has 486 divisors, whose sum is σ = 941525676. Its totient is φ = 52531200.

The previous prime is 228729593. The next prime is 228729617. The reversal of 228729600 is 6927822.

228729600 is a `hidden beast` number, since 2 + 28 + 7 + 29 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12038391 + ... + 12038409.

Almost surely, 2^228729600 is an apocalyptic number.

228729600 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 228729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470762838).

228729600 is an abundant number, since it is smaller than the sum of its proper divisors (712796076).

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

228729600 is a wasteful number, since it uses less digits than its factorization.

228729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 228729600 is about 15123.8090440206. The cubic root of 228729600 is about 611.5624194866.

The spelling of 228729600 in words is "two hundred twenty-eight million, seven hundred twenty-nine thousand, six hundred".