228938400 has 180 divisors, whose sum is σ = 835130142. Its totient is φ = 61032960.

The previous prime is 228938357. The next prime is 228938401. The reversal of 228938400 is 4839822.

It can be written as a sum of positive squares in 3 ways, for example, as 200165904 + 28772496 = 14148^2 + 5364^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (228938401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63034 + ... + 66566.

Almost surely, 2^228938400 is an apocalyptic number.

228938400 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 228938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417565071).

228938400 is an abundant number, since it is smaller than the sum of its proper divisors (606191742).

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

228938400 is a wasteful number, since it uses less digits than its factorization.

228938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228938400 is about 15130.7104922406. The cubic root of 228938400 is about 611.7484548705.

The spelling of 228938400 in words is "two hundred twenty-eight million, nine hundred thirty-eight thousand, four hundred".