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28398672 = 243253612
BaseRepresentation
bin110110001010…
…1010001010000
31222102210122200
41230111101100
524232224142
62452403200
7463245651
oct154252120
958383580
1028398672
1115037385
129616500
135b64163
143ab3528
15275e64c
hex1b15450

28398672 has 90 divisors (see below), whose sum is σ = 82325646. Its totient is φ = 9135360.

The previous prime is 28398661. The next prime is 28398677. The reversal of 28398672 is 27689382.

It can be written as a sum of positive squares in 3 ways, for example, as 266256 + 28132416 = 516^2 + 5304^2 .

Its product of digits (290304) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28398677) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 465522 + ... + 465582.

Almost surely, 228398672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28398672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41162823).

28398672 is an abundant number, since it is smaller than the sum of its proper divisors (53926974).

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

28398672 is a wasteful number, since it uses less digits than its factorization.

28398672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 119 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 28398672 is about 5329.0404389533. The cubic root of 28398672 is about 305.0933047869.

It can be divided in two parts, 2839 and 8672, that added together give a palindrome (11511).

The spelling of 28398672 in words is "twenty-eight million, three hundred ninety-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 61 72 106 122 144 159 183 212 244 318 366 424 477 488 549 636 732 848 954 976 1098 1272 1464 1908 2196 2544 2928 3233 3721 3816 4392 6466 7442 7632 8784 9699 11163 12932 14884 19398 22326 25864 29097 29768 33489 38796 44652 51728 58194 59536 66978 77592 89304 116388 133956 155184 178608 197213 232776 267912 394426 465552 535824 591639 788852 1183278 1577704 1774917 2366556 3155408 3549834 4733112 7099668 9466224 14199336 28398672