228828000 has 96 divisors (see below), whose sum is σ = 749679840. Its totient is φ = 61017600.

The previous prime is 228827999. The next prime is 228828013. The reversal of 228828000 is 828822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2466 + ... + 21534.

It is an arithmetic number, because the mean of its divisors is an integer number (7809165).

Almost surely, 2^228828000 is an apocalyptic number.

228828000 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 228828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374839920).

228828000 is an abundant number, since it is smaller than the sum of its proper divisors (520851840).

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

228828000 is a wasteful number, since it uses less digits than its factorization.

228828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19097 (or 19079 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 228828000 is about 15127.0618429357. The cubic root of 228828000 is about 611.6501054334.

The spelling of 228828000 in words is "two hundred twenty-eight million, eight hundred twenty-eight thousand".