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28718334540 = 22345723311093
BaseRepresentation
bin11010101111101111…
…110000001001001100
32202010102121112220000
4122233233300021030
5432303343201130
621105405324300
72034444546600
oct325757601114
982112545800
1028718334540
11111a7829885
125695866690
1329289a947c
14156613b500
15b3135b260
hex6afbf024c

28718334540 has 360 divisors, whose sum is σ = 105211914192. Its totient is φ = 6538371840.

The previous prime is 28718334527. The next prime is 28718334551. The reversal of 28718334540 is 4543381782.

28718334540 is a `hidden beast` number, since 2 + 8 + 71 + 8 + 3 + 34 + 540 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26274234 + ... + 26275326.

Almost surely, 228718334540 is an apocalyptic number.

28718334540 is a gapful number since it is divisible by the number (20) 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 28718334540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52605957096).

28718334540 is an abundant number, since it is smaller than the sum of its proper divisors (76493579652).

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

28718334540 is a wasteful number, since it uses less digits than its factorization.

28718334540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28718334540 in words is "twenty-eight billion, seven hundred eighteen million, three hundred thirty-four thousand, five hundred forty".