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28920240 = 243454463
BaseRepresentation
bin110111001010…
…0100110110000
32000102022010000
41232110212300
524400421430
62511510000
7500550366
oct156244660
960368100
1028920240
1115363228
129828300
135cb768b
143bab636
152813e60
hex1b949b0

28920240 has 100 divisors (see below), whose sum is σ = 100466784. Its totient is φ = 7710336.

The previous prime is 28920233. The next prime is 28920251. The reversal of 28920240 is 4202982.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4249 + ... + 8711.

Almost surely, 228920240 is an apocalyptic number.

28920240 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 28920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50233392).

28920240 is an abundant number, since it is smaller than the sum of its proper divisors (71546544).

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

28920240 is a wasteful number, since it uses less digits than its factorization.

28920240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28920240 is about 5377.7541780933. The cubic root of 28920240 is about 306.9497595923.

The spelling of 28920240 in words is "twenty-eight million, nine hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 4463 6480 8926 13389 17852 22315 26778 35704 40167 44630 53556 66945 71408 80334 89260 107112 120501 133890 160668 178520 200835 214224 241002 267780 321336 357040 361503 401670 482004 535560 602505 642672 723006 803340 964008 1071120 1205010 1446012 1606680 1807515 1928016 2410020 2892024 3213360 3615030 4820040 5784048 7230060 9640080 14460120 28920240