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28250280 = 2332597809
BaseRepresentation
bin110101111000…
…1000010101000
31222011021002200
41223301002220
524213002110
62445300200
7462060222
oct153610250
958137080
1028250280
1114a45943
129564660
135b11756
143a75412
1527306c0
hex1af10a8

28250280 has 96 divisors (see below), whose sum is σ = 92874600. Its totient is φ = 7446528.

The previous prime is 28250273. The next prime is 28250303. The reversal of 28250280 is 8205282.

28250280 is a `hidden beast` number, since 2 + 82 + 502 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26193924 + 2056356 = 5118^2 + 1434^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34516 + ... + 35324.

Almost surely, 228250280 is an apocalyptic number.

28250280 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 28250280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46437300).

28250280 is an abundant number, since it is smaller than the sum of its proper divisors (64624320).

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

28250280 is a wasteful number, since it uses less digits than its factorization.

28250280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28250280 is about 5315.0992464864. The cubic root of 28250280 is about 304.5609736585.

The spelling of 28250280 in words is "twenty-eight million, two hundred fifty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 809 873 970 1164 1455 1618 1746 1940 2328 2427 2910 3236 3492 3880 4045 4365 4854 5820 6472 6984 7281 8090 8730 9708 11640 12135 14562 16180 17460 19416 24270 29124 32360 34920 36405 48540 58248 72810 78473 97080 145620 156946 235419 291240 313892 392365 470838 627784 706257 784730 941676 1177095 1412514 1569460 1883352 2354190 2825028 3138920 3531285 4708380 5650056 7062570 9416760 14125140 28250280