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28258300 = 2252727379
BaseRepresentation
bin110101111001…
…0111111111100
31222011200002201
41223302333330
524213231200
62445401244
7462122500
oct153627774
958150081
1028258300
1114a50974
129569224
135b152b5
143a78300
152732c6a
hex1af2ffc

28258300 has 108 divisors (see below), whose sum is σ = 73224480. Its totient is φ = 9434880.

The previous prime is 28258289. The next prime is 28258303. The reversal of 28258300 is 385282.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28258303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357661 + ... + 357739.

Almost surely, 228258300 is an apocalyptic number.

28258300 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 28258300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36612240).

28258300 is an abundant number, since it is smaller than the sum of its proper divisors (44966180).

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

28258300 is a wasteful number, since it uses less digits than its factorization.

28258300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 28258300 is about 5315.8536473458. The cubic root of 28258300 is about 304.5897916372.

The spelling of 28258300 in words is "twenty-eight million, two hundred fifty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 73 79 98 100 140 146 158 175 196 245 292 316 350 365 395 490 511 553 700 730 790 980 1022 1106 1225 1460 1580 1825 1975 2044 2212 2450 2555 2765 3577 3650 3871 3950 4900 5110 5530 5767 7154 7300 7742 7900 10220 11060 11534 12775 13825 14308 15484 17885 19355 23068 25550 27650 28835 35770 38710 40369 51100 55300 57670 71540 77420 80738 89425 96775 115340 144175 161476 178850 193550 201845 282583 288350 357700 387100 403690 565166 576700 807380 1009225 1130332 1412915 2018450 2825830 4036900 5651660 7064575 14129150 28258300