228652400 has 60 divisors (see below), whose sum is σ = 558402504. Its totient is φ = 89952000.

The previous prime is 228652387. The next prime is 228652427. The reversal of 228652400 is 4256822.

228652400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19715 + ... + 29085.

Almost surely, 2^228652400 is an apocalyptic number.

228652400 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 228652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279201252).

228652400 is an abundant number, since it is smaller than the sum of its proper divisors (329750104).

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

228652400 is a wasteful number, since it uses less digits than its factorization.

228652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9450 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 228652400 is about 15121.2565615428. The cubic root of 228652400 is about 611.4936076210.

The spelling of 228652400 in words is "two hundred twenty-eight million, six hundred fifty-two thousand, four hundred".