228520519920 has 960 divisors, whose sum is σ = 1003583623680. Its totient is φ = 47261491200.

The previous prime is 228520519859. The next prime is 228520519967. The reversal of 228520519920 is 29915025822.

It is a happy number.

228520519920 is a `hidden beast` number, since 2 + 28 + 5 + 20 + 519 + 92 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385363144 + ... + 385363736.

It is an arithmetic number, because the mean of its divisors is an integer number (1045399608).

Almost surely, 2^228520519920 is an apocalyptic number.

228520519920 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 228520519920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501791811840).

228520519920 is an abundant number, since it is smaller than the sum of its proper divisors (775063103760).

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

228520519920 is a wasteful number, since it uses less digits than its factorization.

228520519920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 228520519920 in words is "two hundred twenty-eight billion, five hundred twenty million, five hundred nineteen thousand, nine hundred twenty".