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28398825 = 32527131973
BaseRepresentation
bin110110001010…
…1010011101001
31222102210212100
41230111103221
524232230300
62452404013
7463246260
oct154252351
958383770
1028398825
1115037504
129616609
135b64250
143ab35d7
15275e700
hex1b154e9

28398825 has 144 divisors (see below), whose sum is σ = 66801280. Its totient is φ = 11197440.

The previous prime is 28398817. The next prime is 28398829. The reversal of 28398825 is 52889382.

It is not a de Polignac number, because 28398825 - 23 = 28398817 is a prime.

It is a super-2 number, since 2×283988252 = 1612986522761250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (276480) is a multiple of the sum of its prime divisors (120).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28398829) 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 143 ways as a sum of consecutive naturals, for example, 388989 + ... + 389061.

Almost surely, 228398825 is an apocalyptic number.

28398825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

28398825 is an abundant number, since it is smaller than the sum of its proper divisors (38402455).

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

28398825 is a wasteful number, since it uses less digits than its factorization.

28398825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 28398825 is about 5329.0547942388. The cubic root of 28398825 is about 305.0938526903.

It can be divided in two parts, 2839 and 8825, that added together give a square (11664 = 1082).

The spelling of 28398825 in words is "twenty-eight million, three hundred ninety-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 19 21 25 35 39 45 57 63 65 73 75 91 95 105 117 133 171 175 195 219 225 247 273 285 315 325 365 399 455 475 511 525 585 657 665 741 819 855 949 975 1095 1197 1235 1365 1387 1425 1533 1575 1729 1825 1995 2223 2275 2555 2847 2925 3285 3325 3705 4095 4161 4275 4599 4745 5187 5475 5985 6175 6643 6825 6935 7665 8541 8645 9709 9975 11115 12483 12775 14235 15561 16425 18031 18525 19929 20475 20805 22995 23725 25935 29127 29925 33215 34675 38325 42705 43225 48545 54093 55575 59787 62415 71175 77805 87381 90155 99645 104025 114975 126217 129675 145635 162279 166075 213525 242725 270465 298935 312075 378651 389025 436905 450775 498225 631085 728175 811395 1135953 1352325 1494675 1893255 2184525 3155425 4056975 5679765 9466275 28398825