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28230444 = 223411892
BaseRepresentation
bin110101110110…
…0001100101100
31222010020220000
41223230030230
524211333234
62445024300
7461645334
oct153541454
958106800
1028230444
1114a31a50
129555090
135b05708
143a6c0c4
152729899
hex1aec32c

28230444 has 90 divisors (see below), whose sum is σ = 81423804. Its totient is φ = 8458560.

The previous prime is 28230443. The next prime is 28230467. The reversal of 28230444 is 44403282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28230443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 317152 + ... + 317240.

Almost surely, 228230444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28230444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711902).

28230444 is an abundant number, since it is smaller than the sum of its proper divisors (53193360).

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

28230444 is a wasteful number, since it uses less digits than its factorization.

28230444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 28230444 is about 5313.2329141494. The cubic root of 28230444 is about 304.4896742355.

The spelling of 28230444 in words is "twenty-eight million, two hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 89 99 108 132 162 178 198 267 297 324 356 396 534 594 801 891 979 1068 1188 1602 1782 1958 2403 2937 3204 3564 3916 4806 5874 7209 7921 8811 9612 11748 14418 15842 17622 23763 26433 28836 31684 35244 47526 52866 71289 79299 87131 95052 105732 142578 158598 174262 213867 261393 285156 317196 348524 427734 522786 641601 784179 855468 1045572 1283202 1568358 2352537 2566404 3136716 4705074 7057611 9410148 14115222 28230444