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28919040 = 283517443
BaseRepresentation
bin110111001010…
…0010100000000
32000102020110120
41232110110000
524400402130
62511500240
7500544033
oct156242400
960366416
1028919040
1115362337
129827680
135cb6c77
143bab01a
152813910
hex1b94500

28919040 has 144 divisors (see below), whose sum is σ = 98013888. Its totient is φ = 7241728.

The previous prime is 28919039. The next prime is 28919047. The reversal of 28919040 is 4091982.

It is a junction number, because it is equal to n+sod(n) for n = 28918992 and 28919010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28919047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65059 + ... + 65501.

It is an arithmetic number, because the mean of its divisors is an integer number (680652).

Almost surely, 228919040 is an apocalyptic number.

28919040 is a gapful number since it is divisible by the number (20) 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 28919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49006944).

28919040 is an abundant number, since it is smaller than the sum of its proper divisors (69094848).

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

28919040 is a wasteful number, since it uses less digits than its factorization.

28919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 28919040 is about 5377.6426061984. The cubic root of 28919040 is about 306.9455140673.

The spelling of 28919040 in words is "twenty-eight million, nine hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 443 480 510 544 640 680 768 816 886 960 1020 1088 1280 1329 1360 1632 1772 1920 2040 2176 2215 2658 2720 3264 3544 3840 4080 4352 4430 5316 5440 6528 6645 7088 7531 8160 8860 10632 10880 13056 13290 14176 15062 16320 17720 21264 21760 22593 26580 28352 30124 32640 35440 37655 42528 45186 53160 56704 60248 65280 70880 75310 85056 90372 106320 112965 113408 120496 141760 150620 170112 180744 212640 225930 240992 283520 301240 340224 361488 425280 451860 481984 567040 602480 722976 850560 903720 963968 1204960 1445952 1701120 1807440 1927936 2409920 2891904 3614880 4819840 5783808 7229760 9639680 14459520 28919040