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28171296 = 2532293373
BaseRepresentation
bin110101101110…
…1110000100000
31222000020202100
41223131300200
524202440141
62443450400
7461311026
oct153356040
958006670
1028171296
11149a156a
129526a00
135ab480a
143a54716
1527170b6
hex1addc20

28171296 has 72 divisors (see below), whose sum is σ = 82899180. Its totient is φ = 9063936.

The previous prime is 28171291. The next prime is 28171301. The reversal of 28171296 is 69217182.

It is an interprime number because it is at equal distance from previous prime (28171291) and next prime (28171301).

It can be written as a sum of positive squares in 2 ways, for example, as 24800400 + 3370896 = 4980^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28171296.

It is not an unprimeable number, because it can be changed into a prime (28171291) 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, 6666 + ... + 10038.

Almost surely, 228171296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41449590).

28171296 is an abundant number, since it is smaller than the sum of its proper divisors (54727884).

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

28171296 is a wasteful number, since it uses less digits than its factorization.

28171296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3407 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 28171296 is about 5307.6638929005. The cubic root of 28171296 is about 304.2768714899.

The spelling of 28171296 in words is "twenty-eight million, one hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 3373 4176 6746 8352 10119 13492 20238 26984 30357 40476 53968 60714 80952 97817 107936 121428 161904 195634 242856 293451 323808 391268 485712 586902 782536 880353 971424 1173804 1565072 1760706 2347608 3130144 3521412 4695216 7042824 9390432 14085648 28171296