228024864 has 72 divisors (see below), whose sum is σ = 650810160. Its totient is φ = 75731328.

The previous prime is 228024857. The next prime is 228024887. The reversal of 228024864 is 468420822.

It is a happy number.

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 a nialpdrome in base 16.

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, 87127 + ... + 89705.

It is an arithmetic number, because the mean of its divisors is an integer number (9039030).

Almost surely, 2^228024864 is an apocalyptic number.

228024864 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 228024864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325405080).

228024864 is an abundant number, since it is smaller than the sum of its proper divisors (422785296).

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

228024864 is a wasteful number, since it uses less digits than its factorization.

228024864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 228024864 is about 15100.4921774093. The cubic root of 228024864 is about 610.9336807897.

The spelling of 228024864 in words is "two hundred twenty-eight million, twenty-four thousand, eight hundred sixty-four".