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28284483852 = 2233719114049
BaseRepresentation
bin11010010101111000…
…101111100100001100
32201000012020122122000
4122111320233210030
5430411311440402
620554350352300
72020626101022
oct322570574414
981005218560
1028284483852
1110aa4943399
1255944bb690
132889b452a1
141524684712
15b0820cc1c
hex695e2f90c

28284483852 has 96 divisors (see below), whose sum is σ = 74462976000. Its totient is φ = 9282873600.

The previous prime is 28284483827. The next prime is 28284483869. The reversal of 28284483852 is 25838448282.

28284483852 is a `hidden beast` number, since 2 + 8 + 2 + 84 + 483 + 85 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6983524 + ... + 6987572.

It is an arithmetic number, because the mean of its divisors is an integer number (775656000).

Almost surely, 228284483852 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 28284483852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488000).

28284483852 is an abundant number, since it is smaller than the sum of its proper divisors (46178492148).

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

28284483852 is a wasteful number, since it uses less digits than its factorization.

28284483852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044 (or 5036 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 54.

The spelling of 28284483852 in words is "twenty-eight billion, two hundred eighty-four million, four hundred eighty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 911 1278 1822 1917 2556 2733 3644 3834 4049 5466 7668 8098 8199 10932 12147 16196 16398 24294 24597 32796 36441 48588 49194 64681 72882 98388 109323 129362 145764 194043 218646 258724 287479 388086 437292 574958 582129 776172 862437 1149916 1164258 1724874 1746387 2328516 2587311 3449748 3492774 3688639 5174622 6985548 7377278 7761933 10349244 11065917 14754556 15523866 22131834 31047732 33197751 44263668 66395502 99593253 132791004 199186506 261893369 398373012 523786738 785680107 1047573476 1571360214 2357040321 3142720428 4714080642 7071120963 9428161284 14142241926 28284483852