228649344 has 384 divisors, whose sum is σ = 824812800. Its totient is φ = 54743040.

The previous prime is 228649339. The next prime is 228649349. The reversal of 228649344 is 443946822.

It is an interprime number because it is at equal distance from previous prime (228649339) and next prime (228649349).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 228649296 and 228649305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228649349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6179694 + ... + 6179730.

It is an arithmetic number, because the mean of its divisors is an integer number (2147950).

Almost surely, 2^228649344 is an apocalyptic number.

228649344 is a gapful number since it is divisible by the number (24) 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 228649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412406400).

228649344 is an abundant number, since it is smaller than the sum of its proper divisors (596163456).

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

228649344 is a wasteful number, since it uses less digits than its factorization.

228649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 228649344 is about 15121.1555114019. The cubic root of 228649344 is about 611.4908833508.

The spelling of 228649344 in words is "two hundred twenty-eight million, six hundred forty-nine thousand, three hundred forty-four".