227028361824 has 288 divisors, whose sum is σ = 717734908800. Its totient is φ = 67489505280.

The previous prime is 227028361759. The next prime is 227028361849. The reversal of 227028361824 is 428163820722.

227028361824 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 2 + 8 + 3 + 618 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 227028361824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120183472 + ... + 120185360.

It is an arithmetic number, because the mean of its divisors is an integer number (2492135100).

Almost surely, 2^227028361824 is an apocalyptic number.

227028361824 is a gapful number since it is divisible by the number (24) 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 227028361824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358867454400).

227028361824 is an abundant number, since it is smaller than the sum of its proper divisors (490706546976).

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

227028361824 is a wasteful number, since it uses less digits than its factorization.

227028361824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 227028361824 in words is "two hundred twenty-seven billion, twenty-eight million, three hundred sixty-one thousand, eight hundred twenty-four".