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28392160 = 255292211
BaseRepresentation
bin110110001001…
…1101011100000
31222102110201111
41230103223200
524232022120
62452313104
7463220656
oct154235340
958373644
1028392160
11150324a5
129612794
135b611c4
143ab0dd6
15275c75a
hex1b13ae0

28392160 has 72 divisors (see below), whose sum is σ = 69798456. Its totient is φ = 10913280.

The previous prime is 28392151. The next prime is 28392163. The reversal of 28392160 is 6129382.

It is a super-2 number, since 2×283921602 = 1612229498931200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28392163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134455 + ... + 134665.

It is an arithmetic number, because the mean of its divisors is an integer number (969423).

Almost surely, 228392160 is an apocalyptic number.

28392160 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 28392160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34899228).

28392160 is an abundant number, since it is smaller than the sum of its proper divisors (41406296).

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

28392160 is a wasteful number, since it uses less digits than its factorization.

28392160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 28392160 is about 5328.4294121251. The cubic root of 28392160 is about 305.0699830452.

The spelling of 28392160 in words is "twenty-eight million, three hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 211 232 290 422 464 580 841 844 928 1055 1160 1682 1688 2110 2320 3364 3376 4205 4220 4640 6119 6728 6752 8410 8440 12238 13456 16820 16880 24476 26912 30595 33640 33760 48952 61190 67280 97904 122380 134560 177451 195808 244760 354902 489520 709804 887255 979040 1419608 1774510 2839216 3549020 5678432 7098040 14196080 28392160