228891320 has 64 divisors (see below), whose sum is σ = 590284800. Its totient is φ = 78249600.

The previous prime is 228891319. The next prime is 228891329. The reversal of 228891320 is 23198822.

228891320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228891329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116345 + ... + 118295.

It is an arithmetic number, because the mean of its divisors is an integer number (9223200).

Almost surely, 2^228891320 is an apocalyptic number.

228891320 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 228891320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295142400).

228891320 is an abundant number, since it is smaller than the sum of its proper divisors (361393480).

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

228891320 is a wasteful number, since it uses less digits than its factorization.

228891320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 228891320 is about 15129.1546360000. The cubic root of 228891320 is about 611.7065176919.

The spelling of 228891320 in words is "two hundred twenty-eight million, eight hundred ninety-one thousand, three hundred twenty".