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28407240 = 2333529907
BaseRepresentation
bin110110001011…
…1010111001000
31222110020102000
41230113113020
524233012430
62452511000
7463312641
oct154272710
958406360
1028407240
1115042864
12961b460
135b68024
143ab66c8
152761e60
hex1b175c8

28407240 has 128 divisors (see below), whose sum is σ = 98064000. Its totient is φ = 7305984.

The previous prime is 28407227. The next prime is 28407259. The reversal of 28407240 is 4270482.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30867 + ... + 31773.

It is an arithmetic number, because the mean of its divisors is an integer number (766125).

Almost surely, 228407240 is an apocalyptic number.

28407240 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 28407240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49032000).

28407240 is an abundant number, since it is smaller than the sum of its proper divisors (69656760).

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

28407240 is a wasteful number, since it uses less digits than its factorization.

28407240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 28407240 is about 5329.8442753987. The cubic root of 28407240 is about 305.1239843505.

The spelling of 28407240 in words is "twenty-eight million, four hundred seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 907 1044 1080 1160 1305 1566 1740 1814 2088 2610 2721 3132 3480 3628 3915 4535 5220 5442 6264 7256 7830 8163 9070 10440 10884 13605 15660 16326 18140 21768 24489 26303 27210 31320 32652 36280 40815 48978 52606 54420 65304 78909 81630 97956 105212 108840 122445 131515 157818 163260 195912 210424 236727 244890 263030 315636 326520 394545 473454 489780 526060 631272 710181 789090 946908 979560 1052120 1183635 1420362 1578180 1893816 2367270 2840724 3156360 3550905 4734540 5681448 7101810 9469080 14203620 28407240