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28701312 = 273411823
BaseRepresentation
bin110110101111…
…1001010000000
32000000011210120
41231133022000
524321420222
62503100240
7465646203
oct155371200
960004716
1028701312
11152237a2
129741680
135c3bb33
143b5193a
1527be15c
hex1b5f280

28701312 has 64 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 9328640.

The previous prime is 28701311. The next prime is 28701377. The reversal of 28701312 is 21310782.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (28701311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14833 + ... + 16655.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 228701312 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 28701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

28701312 is an abundant number, since it is smaller than the sum of its proper divisors (49438848).

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

28701312 is a wasteful number, since it uses less digits than its factorization.

28701312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 28701312 is about 5357.3605441486. The cubic root of 28701312 is about 306.1732540164.

The spelling of 28701312 in words is "twenty-eight million, seven hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1823 1968 2624 3646 3936 5248 5469 7292 7872 10938 14584 15744 21876 29168 43752 58336 74743 87504 116672 149486 175008 224229 233344 298972 350016 448458 597944 700032 896916 1195888 1793832 2391776 3587664 4783552 7175328 9567104 14350656 28701312