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28595952 = 24327112579
BaseRepresentation
bin110110100010…
…1011011110000
31222210211021100
41231011123300
524310032302
62500524400
7465030060
oct155053360
958724240
1028595952
1115161620
1296b0700
135c02ba8
143b253a0
15279cd1c
hex1b456f0

28595952 has 120 divisors (see below), whose sum is σ = 99815040. Its totient is φ = 7424640.

The previous prime is 28595951. The next prime is 28595953. The reversal of 28595952 is 25959582.

28595952 is a `hidden beast` number, since 2 + 8 + 59 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28595951) and next prime (28595953).

It is a junction number, because it is equal to n+sod(n) for n = 28595898 and 28595907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28595951) 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 23 ways as a sum of consecutive naturals, for example, 9799 + ... + 12377.

It is an arithmetic number, because the mean of its divisors is an integer number (831792).

Almost surely, 228595952 is an apocalyptic number.

28595952 is a gapful number since it is divisible by the number (22) 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 28595952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49907520).

28595952 is an abundant number, since it is smaller than the sum of its proper divisors (71219088).

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

28595952 is a wasteful number, since it uses less digits than its factorization.

28595952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2602 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 28595952 is about 5347.5183029140. The cubic root of 28595952 is about 305.7981495921.

The spelling of 28595952 in words is "twenty-eight million, five hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2579 2772 3696 5158 5544 7737 10316 11088 15474 18053 20632 23211 28369 30948 36106 41264 46422 54159 56738 61896 72212 85107 92844 108318 113476 123792 144424 162477 170214 185688 198583 216636 226952 255321 288848 324954 340428 371376 397166 433272 453904 510642 595749 649908 680856 794332 866544 1021284 1191498 1299816 1361712 1588664 1787247 2042568 2382996 2599632 3177328 3574494 4085136 4765992 7148988 9531984 14297976 28595952