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28751200 = 255283433
BaseRepresentation
bin110110110101…
…1010101100000
32000002201020021
41231223111200
524330014300
62504123224
7466244512
oct155532540
960081207
1028751200
1115258225
129766514
135c5875a
143b65bb2
1527cdd1a
hex1b6b560

28751200 has 72 divisors (see below), whose sum is σ = 71198568. Its totient is φ = 11335680.

The previous prime is 28751197. The next prime is 28751201. The reversal of 28751200 is 215782.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28751201) 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 11 ways as a sum of consecutive naturals, for example, 66184 + ... + 66616.

It is an arithmetic number, because the mean of its divisors is an integer number (988869).

Almost surely, 228751200 is an apocalyptic number.

28751200 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 28751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35599284).

28751200 is an abundant number, since it is smaller than the sum of its proper divisors (42447368).

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

28751200 is a wasteful number, since it uses less digits than its factorization.

28751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 28751200 is about 5362.0145467912. The cubic root of 28751200 is about 306.3505459113.

Adding to 28751200 its reverse (215782), we get a palindrome (28966982).

The spelling of 28751200 in words is "twenty-eight million, seven hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 433 664 800 830 866 1328 1660 1732 2075 2165 2656 3320 3464 4150 4330 6640 6928 8300 8660 10825 13280 13856 16600 17320 21650 33200 34640 35939 43300 66400 69280 71878 86600 143756 173200 179695 287512 346400 359390 575024 718780 898475 1150048 1437560 1796950 2875120 3593900 5750240 7187800 14375600 28751200