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28457100 = 22325274517
BaseRepresentation
bin110110010001…
…1100010001100
31222112202210200
41230203202030
524241111400
62453533500
7463611210
oct154434214
958482720
1028457100
1115077271
129644290
135b84929
143aca940
152771b00
hex1b2388c

28457100 has 108 divisors (see below), whose sum is σ = 101962224. Its totient is φ = 6503040.

The previous prime is 28457089. The next prime is 28457113. The reversal of 28457100 is 175482.

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 35 ways as a sum of consecutive naturals, for example, 4042 + ... + 8558.

Almost surely, 228457100 is an apocalyptic number.

28457100 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 28457100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50981112).

28457100 is an abundant number, since it is smaller than the sum of its proper divisors (73505124).

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

28457100 is a wasteful number, since it uses less digits than its factorization.

28457100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4534 counting only the distinct ones).

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

The square root of 28457100 is about 5334.5196597257. The cubic root of 28457100 is about 305.3023964935.

The spelling of 28457100 in words is "twenty-eight million, four hundred fifty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 4517 6300 9034 13551 18068 22585 27102 31619 40653 45170 54204 63238 67755 81306 90340 94857 112925 126476 135510 158095 162612 189714 203265 225850 271020 284571 316190 338775 379428 406530 451700 474285 569142 632380 677550 790475 813060 948570 1016325 1138284 1355100 1422855 1580950 1897140 2032650 2371425 2845710 3161900 4065300 4742850 5691420 7114275 9485700 14228550 28457100