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288152028 = 22328004223
BaseRepresentation
bin10001001011001…
…101100111011100
3202002012122021100
4101023031213130
51042231331103
644332033100
710066152243
oct2113154734
9662178240
10288152028
1113872197a
1280602790
1347910078
142a3ab95a
151a46d5a3
hex112cd9dc

288152028 has 18 divisors (see below), whose sum is σ = 728384384. Its totient is φ = 96050664.

The previous prime is 288152021. The next prime is 288152063. The reversal of 288152028 is 820251882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 8004223 = 288152028 / (2 + 8 + 8 + 1 + 5 + 2 + 0 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 288151983 and 288152001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288152021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4002076 + ... + 4002147.

Almost surely, 2288152028 is an apocalyptic number.

It is an amenable number.

288152028 is an abundant number, since it is smaller than the sum of its proper divisors (440232356).

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

288152028 is a wasteful number, since it uses less digits than its factorization.

288152028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004233 (or 8004228 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 288152028 is about 16975.0413254283. The cubic root of 288152028 is about 660.5016296616.

The spelling of 288152028 in words is "two hundred eighty-eight million, one hundred fifty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 8004223 16008446 24012669 32016892 48025338 72038007 96050676 144076014 288152028