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28075104 = 2532711373
BaseRepresentation
bin110101100011…
…0010001100000
31221211100210200
41223012101200
524141400404
62441425200
7460430421
oct153062140
957740720
1028075104
1114936272
12949b200
135a7cab5
143a2b648
1526e8839
hex1ac6460

28075104 has 72 divisors (see below), whose sum is σ = 81022032. Its totient is φ = 9219840.

The previous prime is 28075097. The next prime is 28075129. The reversal of 28075104 is 40157082.

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

It is a super-2 number, since 2×280751042 = 1576422929221632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19762 + ... + 21134.

It is an arithmetic number, because the mean of its divisors is an integer number (1125306).

Almost surely, 228075104 is an apocalyptic number.

28075104 is a gapful number since it is divisible by the number (24) 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 28075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40511016).

28075104 is an abundant number, since it is smaller than the sum of its proper divisors (52946928).

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

28075104 is a wasteful number, since it uses less digits than its factorization.

28075104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 28075104 is about 5298.5945306279. The cubic root of 28075104 is about 303.9301547758.

The spelling of 28075104 in words is "twenty-eight million, seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1373 1704 2272 2556 2746 3408 4119 5112 5492 6816 8238 10224 10984 12357 16476 20448 21968 24714 32952 43936 49428 65904 97483 98856 131808 194966 197712 292449 389932 395424 584898 779864 877347 1169796 1559728 1754694 2339592 3119456 3509388 4679184 7018776 9358368 14037552 28075104