228293424 has 80 divisors (see below), whose sum is σ = 676464640. Its totient is φ = 73638720.

The previous prime is 228293413. The next prime is 228293449. The reversal of 228293424 is 424392822.

228293424 is a `hidden beast` number, since 228 + 2 + 9 + 3 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4869 + ... + 21915.

It is an arithmetic number, because the mean of its divisors is an integer number (8455808).

Almost surely, 2^228293424 is an apocalyptic number.

228293424 is a gapful number since it is divisible by the number (24) 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 228293424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338232320).

228293424 is an abundant number, since it is smaller than the sum of its proper divisors (448171216).

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

228293424 is a wasteful number, since it uses less digits than its factorization.

228293424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17095 (or 17083 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 228293424 is about 15109.3819860377. The cubic root of 228293424 is about 611.1734323905.

The spelling of 228293424 in words is "two hundred twenty-eight million, two hundred ninety-three thousand, four hundred twenty-four".