228800052 has 144 divisors (see below), whose sum is σ = 680621760. Its totient is φ = 66624768.

The previous prime is 228800029. The next prime is 228800069. The reversal of 228800052 is 250008822.

228800052 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 228799989 and 228800025.

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, 239608 + ... + 240560.

It is an arithmetic number, because the mean of its divisors is an integer number (4726540).

Almost surely, 2^228800052 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 228800052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340310880).

228800052 is an abundant number, since it is smaller than the sum of its proper divisors (451821708).

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

228800052 is a wasteful number, since it uses less digits than its factorization.

228800052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 228800052 is about 15126.1380398303. The cubic root of 228800052 is about 611.6252030422.

Adding to 228800052 its reverse (250008822), we get a palindrome (478808874).

The spelling of 228800052 in words is "two hundred twenty-eight million, eight hundred thousand, fifty-two".