228936281405832 has 2304 divisors, whose sum is σ = 960971293900800. Its totient is φ = 47360692224000.

The previous prime is 228936281405831. The next prime is 228936281405837. The reversal of 228936281405832 is 238504182639822.

228936281405832 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 3 + 6 + 2 + 8 + 1 + 40 + 583 + 2 = 666.

It is a super-2 number, since 2×228936281405832² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 228936281405832.

It is not an unprimeable number, because it can be changed into a prime (228936281405831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12268158582 + ... + 12268177242.

It is an arithmetic number, because the mean of its divisors is an integer number (417088235200).

Almost surely, 2^{228936281405832} is an apocalyptic number.

228936281405832 is a gapful number since it is divisible by the number (22) 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 228936281405832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480485646950400).

228936281405832 is an abundant number, since it is smaller than the sum of its proper divisors (732035012494968).

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

228936281405832 is a wasteful number, since it uses less digits than its factorization.

228936281405832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18788 (or 18764 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 228936281405832 in words is "two hundred twenty-eight trillion, nine hundred thirty-six billion, two hundred eighty-one million, four hundred five thousand, eight hundred thirty-two".