228138624 has 192 divisors, whose sum is σ = 790296000. Its totient is φ = 61710336.

The previous prime is 228138619. The next prime is 228138629. The reversal of 228138624 is 426831822.

228138624 is a `hidden beast` number, since 2 + 28 + 1 + 3 + 8 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (228138619) and next prime (228138629).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×228138624² = 104094463521226752, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (228138629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152472 + ... + 153960.

It is an arithmetic number, because the mean of its divisors is an integer number (4116125).

Almost surely, 2^228138624 is an apocalyptic number.

228138624 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 228138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395148000).

228138624 is an abundant number, since it is smaller than the sum of its proper divisors (562157376).

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

228138624 is a wasteful number, since it uses less digits than its factorization.

228138624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1520 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 228138624 is about 15104.2584723647. The cubic root of 228138624 is about 611.0352607371.

The spelling of 228138624 in words is "two hundred twenty-eight million, one hundred thirty-eight thousand, six hundred twenty-four".