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28081800144 = 2433292241523
BaseRepresentation
bin11010001001110011…
…100100001111010000
32200111001212020212000
4122021303210033100
5430002420101034
620522310234000
72012615235306
oct321163441720
980431766760
1028081800144
1110a004980a2
125538655900
132856b5b5b8
1415057a4276
15ae5523599
hex689ce43d0

28081800144 has 80 divisors (see below), whose sum is σ = 83384692800. Its totient is φ = 9037816704.

The previous prime is 28081800137. The next prime is 28081800157. The reversal of 28081800144 is 44100818082.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 28081800099 and 28081800108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108234 + ... + 1133289.

It is an arithmetic number, because the mean of its divisors is an integer number (1042308660).

Almost surely, 228081800144 is an apocalyptic number.

28081800144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28081800144 is an abundant number, since it is smaller than the sum of its proper divisors (55302892656).

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

28081800144 is a wasteful number, since it uses less digits than its factorization.

28081800144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241569 (or 2241557 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 28081800144 in words is "twenty-eight billion, eighty-one million, eight hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 2241523 4483046 6724569 8966092 13449138 17932184 20173707 26898276 35864368 40347414 53796552 60521121 65004167 80694828 107593104 121042242 130008334 161389656 195012501 242084484 260016668 322779312 390025002 484168968 520033336 585037503 780050004 968337936 1040066672 1170075006 1560100008 1755112509 2340150012 3120200016 3510225018 4680300024 7020450036 9360600048 14040900072 28081800144