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28116054540 = 22325722314329
BaseRepresentation
bin11010001011110110…
…001111001000001100
32200120110022120001100
4122023312033020030
5430040202221130
620525532343100
72013512343330
oct321366171014
980513276040
1028116054540
1110a18863a12
125548014a90
132860c92b82
14150a15d7c0
15ae853cc60
hex68bd8f20c

28116054540 has 72 divisors (see below), whose sum is σ = 97468993440. Its totient is φ = 6426526464.

The previous prime is 28116054521. The next prime is 28116054559. The reversal of 28116054540 is 4545061182.

It is a happy number.

28116054540 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 60 + 54 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (28116054521) and next prime (28116054559).

It is a super-2 number, since 2×281160545402 (a number of 22 digits) contains 22 as substring.

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 = 28116054495 and 28116054504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11155905 + ... + 11158424.

It is an arithmetic number, because the mean of its divisors is an integer number (1353736020).

Almost surely, 228116054540 is an apocalyptic number.

28116054540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28116054540 is an abundant number, since it is smaller than the sum of its proper divisors (69352938900).

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

28116054540 is a wasteful number, since it uses less digits than its factorization.

28116054540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22314351 (or 22314346 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 28116054540 in words is "twenty-eight billion, one hundred sixteen million, fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 22314329 44628658 66942987 89257316 111571645 133885974 156200303 200828961 223143290 267771948 312400606 334714935 401657922 446286580 468600909 624801212 669429870 781001515 803315844 937201818 1004144805 1338859740 1405802727 1562003030 1874403636 2008289610 2343004545 2811605454 3124006060 4016579220 4686009090 5623210908 7029013635 9372018180 14058027270 28116054540