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28333368 = 2333722677
BaseRepresentation
bin110110000010…
…1010100111000
31222022111002000
41230011110320
524223131433
62451141000
7462554400
oct154052470
958274060
1028333368
1114aa2308
1295a4760
135b4050b
143a97800
15274a113
hex1b05538

28333368 has 96 divisors (see below), whose sum is σ = 91587600. Its totient is φ = 8092224.

The previous prime is 28333367. The next prime is 28333369. The reversal of 28333368 is 86333382.

It is an interprime number because it is at equal distance from previous prime (28333367) and next prime (28333369).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28333367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9246 + ... + 11922.

Almost surely, 228333368 is an apocalyptic number.

28333368 is a gapful number since it is divisible by the number (28) 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 28333368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45793800).

28333368 is an abundant number, since it is smaller than the sum of its proper divisors (63254232).

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

28333368 is a wasteful number, since it uses less digits than its factorization.

28333368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2689 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 28333368 is about 5322.9097305891. The cubic root of 28333368 is about 304.8592667937.

The spelling of 28333368 in words is "twenty-eight million, three hundred thirty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 2677 3528 5292 5354 8031 10584 10708 16062 18739 21416 24093 32124 37478 48186 56217 64248 72279 74956 96372 112434 131173 144558 149912 168651 192744 224868 262346 289116 337302 393519 449736 505953 524692 578232 674604 787038 1011906 1049384 1180557 1349208 1574076 2023812 2361114 3148152 3541671 4047624 4722228 7083342 9444456 14166684 28333368