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28191312 = 24321371429
BaseRepresentation
bin110101110001…
…0101001010000
31222001021012200
41223202221100
524204110222
62444123200
7461423262
oct153425120
958037180
1028191312
1114a05606
129536500
135ac0966
143a5bb32
15271ceac
hex1ae2a50

28191312 has 60 divisors (see below), whose sum is σ = 79528020. Its totient is φ = 9321984.

The previous prime is 28191301. The next prime is 28191323. The reversal of 28191312 is 21319182.

It is an interprime number because it is at equal distance from previous prime (28191301) and next prime (28191323).

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 20034576 = 2856^2 + 4476^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 19014 + ... + 20442.

It is an arithmetic number, because the mean of its divisors is an integer number (1325467).

Almost surely, 228191312 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 28191312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39764010).

28191312 is an abundant number, since it is smaller than the sum of its proper divisors (51336708).

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

28191312 is a wasteful number, since it uses less digits than its factorization.

28191312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1571 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 28191312 is about 5309.5491334011. The cubic root of 28191312 is about 304.3489183942.

The spelling of 28191312 in words is "twenty-eight million, one hundred ninety-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1429 1644 2192 2466 2858 3288 4287 4932 5716 6576 8574 9864 11432 12861 17148 19728 22864 25722 34296 51444 68592 102888 195773 205776 391546 587319 783092 1174638 1566184 1761957 2349276 3132368 3523914 4698552 7047828 9397104 14095656 28191312