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28892240 = 2451322137
BaseRepresentation
bin110111000110…
…1110001010000
32000100212200222
41232031301100
524344022430
62511132212
7500402636
oct156156120
960325628
1028892240
1115344193
129814068
135ca7a00
143ba1356
15280a9e5
hex1b8dc50

28892240 has 60 divisors (see below), whose sum is σ = 72773244. Its totient is φ = 10662912.

The previous prime is 28892219. The next prime is 28892257. The reversal of 28892240 is 4229882.

It can be written as a sum of positive squares in 6 ways, for example, as 13337104 + 15555136 = 3652^2 + 3944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28892240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12452 + ... + 14588.

Almost surely, 228892240 is an apocalyptic number.

28892240 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 28892240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386622).

28892240 is an abundant number, since it is smaller than the sum of its proper divisors (43881004).

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

28892240 is a wasteful number, since it uses less digits than its factorization.

28892240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 28892240 is about 5375.1502304587. The cubic root of 28892240 is about 306.8506667255.

The spelling of 28892240 in words is "twenty-eight million, eight hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2137 2704 3380 4274 6760 8548 10685 13520 17096 21370 27781 34192 42740 55562 85480 111124 138905 170960 222248 277810 361153 444496 555620 722306 1111240 1444612 1805765 2222480 2889224 3611530 5778448 7223060 14446120 28892240