228742800 has 480 divisors, whose sum is σ = 909275136. Its totient is φ = 48384000.

The previous prime is 228742783. The next prime is 228742861. The reversal of 228742800 is 8247822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5319579 + ... + 5319621.

Almost surely, 2^228742800 is an apocalyptic number.

228742800 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 228742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454637568).

228742800 is an abundant number, since it is smaller than the sum of its proper divisors (680532336).

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

228742800 is a wasteful number, since it uses less digits than its factorization.

228742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 228742800 is about 15124.2454357234. The cubic root of 228742800 is about 611.5741836959.

The spelling of 228742800 in words is "two hundred twenty-eight million, seven hundred forty-two thousand, eight hundred".