228188784 has 80 divisors (see below), whose sum is σ = 624999680. Its totient is φ = 71539200.

The previous prime is 228188777. The next prime is 228188789. The reversal of 228188784 is 487881822.

228188784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×228188784² = 104140242286797312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228188789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136884 + ... + 138540.

It is an arithmetic number, because the mean of its divisors is an integer number (7812496).

Almost surely, 2^228188784 is an apocalyptic number.

228188784 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 228188784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312499840).

228188784 is an abundant number, since it is smaller than the sum of its proper divisors (396810896).

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

228188784 is a wasteful number, since it uses less digits than its factorization.

228188784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1832 counting only the distinct ones).

The product of its digits is 458752, while the sum is 48.

The square root of 228188784 is about 15105.9188399779. The cubic root of 228188784 is about 611.0800394805.

It can be divided in two parts, 2 and 28188784, that added together give a triangular number (28188786 = T₇₅₀₈).

The spelling of 228188784 in words is "two hundred twenty-eight million, one hundred eighty-eight thousand, seven hundred eighty-four".