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28458800 = 245271147
BaseRepresentation
bin110110010001…
…1111100110000
31222112212010122
41230203330300
524241140200
62453545412
7463616156
oct154437460
958485118
1028458800
1115078577
129645268
135b85636
143acb3d6
152772385
hex1b23f30

28458800 has 30 divisors (see below), whose sum is σ = 68373228. Its totient is φ = 11383360.

The previous prime is 28458779. The next prime is 28458803. The reversal of 28458800 is 885482.

It is not an unprimeable number, because it can be changed into a prime (28458803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35174 + ... + 35973.

Almost surely, 228458800 is an apocalyptic number.

28458800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28458800 is an abundant number, since it is smaller than the sum of its proper divisors (39914428).

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

28458800 is a wasteful number, since it uses less digits than its factorization.

28458800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71165 (or 71154 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 28458800 is about 5334.6789969032. The cubic root of 28458800 is about 305.3084758637.

The spelling of 28458800 in words is "twenty-eight million, four hundred fifty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 71147 142294 284588 355735 569176 711470 1138352 1422940 1778675 2845880 3557350 5691760 7114700 14229400 28458800