228012527026800 has 960 divisors, whose sum is σ = 912142600089600. Its totient is φ = 53817266764800.

The previous prime is 228012527026793. The next prime is 228012527026813. The reversal of 228012527026800 is 8620725210822.

228012527026800 is a `hidden beast` number, since 2 + 28 + 0 + 1 + 2 + 527 + 0 + 26 + 80 + 0 = 666.

It is a super-2 number, since 2×228012527026800² (a number of 30 digits) contains 22 as substring.

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, 202381035 + ... + 203504565.

It is an arithmetic number, because the mean of its divisors is an integer number (950148541760).

Almost surely, 2^{228012527026800} is an apocalyptic number.

228012527026800 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 228012527026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456071300044800).

228012527026800 is an abundant number, since it is smaller than the sum of its proper divisors (684130073062800).

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

228012527026800 is a wasteful number, since it uses less digits than its factorization.

228012527026800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123643 (or 1123626 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 228012527026800 in words is "two hundred twenty-eight trillion, twelve billion, five hundred twenty-seven million, twenty-six thousand, eight hundred".