228072600 has 288 divisors, whose sum is σ = 914584320. Its totient is φ = 49800960.

The previous prime is 228072589. The next prime is 228072631. The reversal of 228072600 is 6270822.

It is a super-2 number, since 2×228072600² = 104034221741520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289407 + ... + 290193.

It is an arithmetic number, because the mean of its divisors is an integer number (3175640).

Almost surely, 2^228072600 is an apocalyptic number.

228072600 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 228072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457292160).

228072600 is an abundant number, since it is smaller than the sum of its proper divisors (686511720).

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

228072600 is a wasteful number, since it uses less digits than its factorization.

228072600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 228072600 is about 15102.0727054269. The cubic root of 228072600 is about 610.9763099060.

The spelling of 228072600 in words is "two hundred twenty-eight million, seventy-two thousand, six hundred".