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28445100 = 22352531789
BaseRepresentation
bin110110010000…
…0100110101100
31222112011100020
41230200212230
524240220400
62453402140
7463531215
oct154404654
958464306
1028445100
1115069252
129639350
135b7c328
143ac640c
15276d2a0
hex1b209ac

28445100 has 72 divisors (see below), whose sum is σ = 83900880. Its totient is φ = 7438080.

The previous prime is 28445041. The next prime is 28445101. The reversal of 28445100 is 154482.

It is not an unprimeable number, because it can be changed into a prime (28445101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15006 + ... + 16794.

It is an arithmetic number, because the mean of its divisors is an integer number (1165290).

Almost surely, 228445100 is an apocalyptic number.

28445100 is a gapful number since it is divisible by the number (20) 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 28445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41950440).

28445100 is an abundant number, since it is smaller than the sum of its proper divisors (55455780).

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

28445100 is a wasteful number, since it uses less digits than its factorization.

28445100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 28445100 is about 5333.3947913126. The cubic root of 28445100 is about 305.2594764039.

Adding to 28445100 its reverse (154482), we get a palindrome (28599582).

The spelling of 28445100 in words is "twenty-eight million, four hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 1789 2650 3180 3578 3975 5300 5367 7156 7950 8945 10734 15900 17890 21468 26835 35780 44725 53670 89450 94817 107340 134175 178900 189634 268350 284451 379268 474085 536700 568902 948170 1137804 1422255 1896340 2370425 2844510 4740850 5689020 7111275 9481700 14222550 28445100