228004761600 has 2808 divisors, whose sum is σ = 1137964228128. Its totient is φ = 44590694400.

The previous prime is 228004761599. The next prime is 228004761619. The reversal of 228004761600 is 6167400822.

228004761600 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 0 + 47 + 6 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 13412044792 + ... + 13412044808.

It is an arithmetic number, because the mean of its divisors is an integer number (405257916).

Almost surely, 2^228004761600 is an apocalyptic number.

228004761600 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 228004761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568982114064).

228004761600 is an abundant number, since it is smaller than the sum of its proper divisors (909959466528).

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

228004761600 is a wasteful number, since it uses less digits than its factorization.

228004761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 228004761600 in words is "two hundred twenty-eight billion, four million, seven hundred sixty-one thousand, six hundred".