228127536 has 240 divisors, whose sum is σ = 821301600. Its totient is φ = 60092928.

The previous prime is 228127507. The next prime is 228127553. The reversal of 228127536 is 635721822.

228127536 is a `hidden beast` number, since 22 + 81 + 27 + 536 = 666.

228127536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 228127536.

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, 274770 + ... + 275598.

It is an arithmetic number, because the mean of its divisors is an integer number (3422090).

Almost surely, 2^228127536 is an apocalyptic number.

228127536 is a gapful number since it is divisible by the number (26) 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 228127536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410650800).

228127536 is an abundant number, since it is smaller than the sum of its proper divisors (593174064).

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

228127536 is a wasteful number, since it uses less digits than its factorization.

228127536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 854 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 228127536 is about 15103.8914191012. The cubic root of 228127536 is about 611.0253613923.

The spelling of 228127536 in words is "two hundred twenty-eight million, one hundred twenty-seven thousand, five hundred thirty-six".