228652398720 has 1280 divisors, whose sum is σ = 899571847680. Its totient is φ = 55180984320.

The previous prime is 228652398713. The next prime is 228652398721. The reversal of 228652398720 is 27893256822.

228652398720 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 523 + 98 + 7 + 20 = 666.

228652398720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (228652398721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3132224604 + ... + 3132224676.

It is an arithmetic number, because the mean of its divisors is an integer number (702790506).

Almost surely, 2^228652398720 is an apocalyptic number.

228652398720 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 228652398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449785923840).

228652398720 is an abundant number, since it is smaller than the sum of its proper divisors (670919448960).

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

228652398720 is a wasteful number, since it uses less digits than its factorization.

228652398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 228652398720 in words is "two hundred twenty-eight billion, six hundred fifty-two million, three hundred ninety-eight thousand, seven hundred twenty".