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28085472 = 2532113863
BaseRepresentation
bin110101100100…
…0110011100000
31221211220000200
41223020303200
524142213342
62441545200
7460502562
oct153106340
957756020
1028085472
1114943038
1294a5200
135a8472c
143a31332
1526eb94c
hex1ac8ce0

28085472 has 72 divisors (see below), whose sum is σ = 80668224. Its totient is φ = 9268224.

The previous prime is 28085459. The next prime is 28085489. The reversal of 28085472 is 27458082.

It is a happy number.

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 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, 32113 + ... + 32975.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 228085472 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 28085472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112).

28085472 is an abundant number, since it is smaller than the sum of its proper divisors (52582752).

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

28085472 is a wasteful number, since it uses less digits than its factorization.

28085472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28085472 is about 5299.5728129728. The cubic root of 28085472 is about 303.9675634829.

The spelling of 28085472 in words is "twenty-eight million, eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 863 904 1017 1356 1726 1808 2034 2589 2712 3452 3616 4068 5178 5424 6904 7767 8136 10356 10848 13808 15534 16272 20712 27616 31068 32544 41424 62136 82848 97519 124272 195038 248544 292557 390076 585114 780152 877671 1170228 1560304 1755342 2340456 3120608 3510684 4680912 7021368 9361824 14042736 28085472