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28240992 = 25321319397
BaseRepresentation
bin110101110111…
…0110001100000
31222010210100200
41223232301200
524212202432
62445145200
7462021153
oct153566140
958123320
1028240992
1114a3996a
12955b200
135b0a460
143a71c9a
15272ca7c
hex1aeec60

28240992 has 144 divisors (see below), whose sum is σ = 91269360. Its totient is φ = 8211456.

The previous prime is 28240991. The next prime is 28241021. The reversal of 28240992 is 29904282.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28240991) 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 23 ways as a sum of consecutive naturals, for example, 70938 + ... + 71334.

It is an arithmetic number, because the mean of its divisors is an integer number (633815).

Almost surely, 228240992 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 28240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45634680).

28240992 is an abundant number, since it is smaller than the sum of its proper divisors (63028368).

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

28240992 is a wasteful number, since it uses less digits than its factorization.

28240992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28240992 is about 5314.2254374462. The cubic root of 28240992 is about 304.5275926042.

The spelling of 28240992 in words is "twenty-eight million, two hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 397 416 456 468 494 608 624 684 741 794 912 936 988 1191 1248 1368 1482 1588 1824 1872 1976 2223 2382 2736 2964 3176 3573 3744 3952 4446 4764 5161 5472 5928 6352 7146 7543 7904 8892 9528 10322 11856 12704 14292 15086 15483 17784 19056 20644 22629 23712 28584 30172 30966 35568 38112 41288 45258 46449 57168 60344 61932 67887 71136 82576 90516 92898 98059 114336 120688 123864 135774 165152 181032 185796 196118 241376 247728 271548 294177 362064 371592 392236 495456 543096 588354 724128 743184 784472 882531 1086192 1176708 1486368 1568944 1765062 2172384 2353416 3137888 3530124 4706832 7060248 9413664 14120496 28240992