228728500 has 192 divisors, whose sum is σ = 672182784. Its totient is φ = 65664000.

The previous prime is 228728483. The next prime is 228728501. The reversal of 228728500 is 5827822.

228728500 = T₂₄₀ + T₂₄₁ + ... + T₁₁₁₄.

228728500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228728501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500272 + ... + 500728.

It is an arithmetic number, because the mean of its divisors is an integer number (3500952).

Almost surely, 2^228728500 is an apocalyptic number.

228728500 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 228728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336091392).

228728500 is an abundant number, since it is smaller than the sum of its proper divisors (443454284).

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

228728500 is a wasteful number, since it uses less digits than its factorization.

228728500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 228728500 is about 15123.7726774770. The cubic root of 228728500 is about 611.5614391154.

The spelling of 228728500 in words is "two hundred twenty-eight million, seven hundred twenty-eight thousand, five hundred".