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28241124372 = 223231613371231
BaseRepresentation
bin11010010011010011…
…010101110000010100
32200220011122202121100
4122103103111300110
5430314211434442
620550201150100
72016561411366
oct322323256024
980804582540
1028241124372
1110a8241880a
125581a8b330
132880b735a6
14151c9d8d36
15b044e584c
hex6934d5c14

28241124372 has 144 divisors (see below), whose sum is σ = 75181410304. Its totient is φ = 8926848000.

The previous prime is 28241124293. The next prime is 28241124377. The reversal of 28241124372 is 27342114282.

28241124372 is a `hidden beast` number, since 28 + 241 + 1 + 24 + 372 = 666.

It is a super-2 number, since 2×282411243722 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28241124377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22940997 + ... + 22942227.

Almost surely, 228241124372 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 28241124372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37590705152).

28241124372 is an abundant number, since it is smaller than the sum of its proper divisors (46940285932).

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

28241124372 is a wasteful number, since it uses less digits than its factorization.

28241124372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1665 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 28241124372 in words is "twenty-eight billion, two hundred forty-one million, one hundred twenty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 122 124 183 186 244 279 337 366 372 549 558 674 732 1011 1098 1116 1231 1348 1891 2022 2196 2462 3033 3693 3782 4044 4924 5673 6066 7386 7564 10447 11079 11346 12132 14772 17019 20557 20894 22158 22692 31341 34038 38161 41114 41788 44316 61671 62682 68076 75091 76322 82228 94023 114483 123342 125364 150182 152644 185013 188046 225273 228966 246684 300364 343449 370026 376092 414847 450546 457932 637267 675819 686898 740052 829694 901092 1244541 1274534 1351638 1373796 1659388 1911801 2327821 2489082 2549068 2703276 3733623 3823602 4655642 4978164 5735403 6983463 7467246 7647204 9311284 11470806 12860257 13966926 14934492 20950389 22941612 25305667 25720514 27933852 38580771 41900778 50611334 51441028 75917001 77161542 83801556 101222668 115742313 151834002 154323084 227751003 231484626 303668004 455502006 462969252 784475677 911004012 1568951354 2353427031 3137902708 4706854062 7060281093 9413708124 14120562186 28241124372