228427776000 has 1080 divisors, whose sum is σ = 905467811976. Its totient is φ = 57330892800.

The previous prime is 228427775977. The next prime is 228427776077. The reversal of 228427776000 is 677724822.

It can be written as a sum of positive squares in 4 ways, for example, as 967458816 + 227460317184 = 31104^2 + 476928^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 71 ways as a sum of consecutive naturals, for example, 13436927992 + ... + 13436928008.

Almost surely, 2^228427776000 is an apocalyptic number.

228427776000 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 228427776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452733905988).

228427776000 is an abundant number, since it is smaller than the sum of its proper divisors (677040035976).

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

228427776000 is an frugal number, since it uses more digits than its factorization.

228427776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 228427776000 in words is "two hundred twenty-eight billion, four hundred twenty-seven million, seven hundred seventy-six thousand".