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28942160 = 24513171637
BaseRepresentation
bin110111001100…
…1111101010000
32000110102011212
41232121331100
524402122120
62512155252
7501001322
oct156317520
960412155
1028942160
1115378745
129838b28
135cc4650
143bb5612
15281a6c5
hex1b99f50

28942160 has 80 divisors (see below), whose sum is σ = 76776336. Its totient is φ = 10051584.

The previous prime is 28942159. The next prime is 28942169. The reversal of 28942160 is 6124982.

It can be written as a sum of positive squares in 8 ways, for example, as 4892944 + 24049216 = 2212^2 + 4904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28942169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16862 + ... + 18498.

Almost surely, 228942160 is an apocalyptic number.

28942160 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 28942160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38388168).

28942160 is an abundant number, since it is smaller than the sum of its proper divisors (47834176).

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

28942160 is a wasteful number, since it uses less digits than its factorization.

28942160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 28942160 is about 5379.7918175335. The cubic root of 28942160 is about 307.0272905249.

The spelling of 28942160 in words is "twenty-eight million, nine hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1637 1768 2210 3274 3536 4420 6548 8185 8840 13096 16370 17680 21281 26192 27829 32740 42562 55658 65480 85124 106405 111316 130960 139145 170248 212810 222632 278290 340496 361777 425620 445264 556580 723554 851240 1113160 1447108 1702480 1808885 2226320 2894216 3617770 5788432 7235540 14471080 28942160