228302928 has 160 divisors (see below), whose sum is σ = 793163520. Its totient is φ = 61378560.

The previous prime is 228302909. The next prime is 228302929. The reversal of 228302928 is 829203822.

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

It is a junction number, because it is equal to n+sod(n) for n = 228302892 and 228302901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228302929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49188 + ... + 53628.

It is an arithmetic number, because the mean of its divisors is an integer number (4957272).

Almost surely, 2^228302928 is an apocalyptic number.

228302928 is a gapful number since it is divisible by the number (28) 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 228302928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396581760).

228302928 is an abundant number, since it is smaller than the sum of its proper divisors (564860592).

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

228302928 is a wasteful number, since it uses less digits than its factorization.

228302928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228302928 is about 15109.6964893409. The cubic root of 228302928 is about 611.1819134520.

The spelling of 228302928 in words is "two hundred twenty-eight million, three hundred two thousand, nine hundred twenty-eight".