228658920 has 128 divisors (see below), whose sum is σ = 825292800. Its totient is φ = 49510656.

The previous prime is 228658919. The next prime is 228658933. The reversal of 228658920 is 29856822.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8797 + ... + 23123.

It is an arithmetic number, because the mean of its divisors is an integer number (6447600).

Almost surely, 2^228658920 is an apocalyptic number.

228658920 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 228658920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412646400).

228658920 is an abundant number, since it is smaller than the sum of its proper divisors (596633880).

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

228658920 is a wasteful number, since it uses less digits than its factorization.

228658920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14367 (or 14363 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 228658920 is about 15121.4721505547. The cubic root of 228658920 is about 611.4994197918.

The spelling of 228658920 in words is "two hundred twenty-eight million, six hundred fifty-eight thousand, nine hundred twenty".