228928752 has 180 divisors, whose sum is σ = 725690160. Its totient is φ = 67212288.

The previous prime is 228928751. The next prime is 228928771. The reversal of 228928752 is 257829822.

228928752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 228928698 and 228928707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228928751) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 559524 + ... + 559932.

It is an arithmetic number, because the mean of its divisors is an integer number (4031612).

Almost surely, 2^228928752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228928752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362845080).

228928752 is an abundant number, since it is smaller than the sum of its proper divisors (496761408).

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

228928752 is a wasteful number, since it uses less digits than its factorization.

228928752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 450 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 228928752 is about 15130.3916671050. The cubic root of 228928752 is about 611.7398612459.

The spelling of 228928752 in words is "two hundred twenty-eight million, nine hundred twenty-eight thousand, seven hundred fifty-two".