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28734480 = 2433553251
BaseRepresentation
bin110110110011…
…1010000010000
32000001212022000
41231213100100
524324000410
62503514000
7466144665
oct155472020
960055260
1028734480
1115246705
129758900
135c50c68
143b5da6c
1527c8dc0
hex1b67410

28734480 has 160 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 7488000.

The previous prime is 28734439. The next prime is 28734487. The reversal of 28734480 is 8443782.

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 (28734487) 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 31 ways as a sum of consecutive naturals, for example, 114355 + ... + 114605.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 228734480 is an apocalyptic number.

28734480 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 28734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

28734480 is an abundant number, since it is smaller than the sum of its proper divisors (72509040).

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

28734480 is a wasteful number, since it uses less digits than its factorization.

28734480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 28734480 is about 5360.4552045512. The cubic root of 28734480 is about 306.2911492673.

The spelling of 28734480 in words is "twenty-eight million, seven hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 212 216 240 251 265 270 318 360 424 432 477 502 530 540 636 720 753 795 848 954 1004 1060 1080 1255 1272 1431 1506 1590 1908 2008 2120 2160 2259 2385 2510 2544 2862 3012 3180 3765 3816 4016 4240 4518 4770 5020 5724 6024 6360 6777 7155 7530 7632 9036 9540 10040 11295 11448 12048 12720 13303 13554 14310 15060 18072 19080 20080 22590 22896 26606 27108 28620 30120 33885 36144 38160 39909 45180 53212 54216 57240 60240 66515 67770 79818 90360 106424 108432 114480 119727 133030 135540 159636 180720 199545 212848 239454 266060 271080 319272 359181 399090 478908 532120 542160 598635 638544 718362 798180 957816 1064240 1197270 1436724 1596360 1795905 1915632 2394540 2873448 3192720 3591810 4789080 5746896 7183620 9578160 14367240 28734480