228085920 has 72 divisors (see below), whose sum is σ = 778348116. Its totient is φ = 60822528.

The previous prime is 228085903. The next prime is 228085931. The reversal of 228085920 is 29580822.

It can be written as a sum of positive squares in 2 ways, for example, as 213978384 + 14107536 = 14628^2 + 3756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 77757 + ... + 80636.

Almost surely, 2^228085920 is an apocalyptic number.

228085920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228085920 is an abundant number, since it is smaller than the sum of its proper divisors (550262196).

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

228085920 is a wasteful number, since it uses less digits than its factorization.

228085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158414 (or 158403 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 228085920 is about 15102.5136980570. The cubic root of 228085920 is about 610.9882038469.

The spelling of 228085920 in words is "two hundred twenty-eight million, eighty-five thousand, nine hundred twenty".