228524820480 has 1344 divisors, whose sum is σ = 943577631360. Its totient is φ = 52991262720.

The previous prime is 228524820479. The next prime is 228524820521. The reversal of 228524820480 is 84028425822.

228524820480 is a `hidden beast` number, since 2 + 2 + 8 + 524 + 82 + 0 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9935861749 + ... + 9935861771.

It is an arithmetic number, because the mean of its divisors is an integer number (702066690).

Almost surely, 2^228524820480 is an apocalyptic number.

228524820480 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 228524820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471788815680).

228524820480 is an abundant number, since it is smaller than the sum of its proper divisors (715052810880).

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

228524820480 is an frugal number, since it uses more digits than its factorization.

228524820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 228524820480 in words is "two hundred twenty-eight billion, five hundred twenty-four million, eight hundred twenty thousand, four hundred eighty".