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28762080054841 = 72472163012
BaseRepresentation
bin1101000101000101100011…
…00100001000111000111001
310202211121221210220211211101
412202202301210020320321
512232214214443223331
6141101041150331401
76025664104436200
oct642426144107071
9122747853824741
1028762080054841
119189a25401a11
12328634a4b9b61
1313083389c8693
14716140a2c237
1534d27b02e061
hex1a28b1908e39

28762080054841 has 27 divisors (see below), whose sum is σ = 34187044132047. Its totient is φ = 24127194865200.

The previous prime is 28762080054809. The next prime is 28762080054857. The reversal of 28762080054841 is 14845008026782.

The square root of 28762080054841 is 5363029.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24188897804841 + 4573182250000 = 4918221^2 + 2138500^2 .

It is not a de Polignac number, because 28762080054841 - 25 = 28762080054809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28762080054541) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1764428391 + ... + 1764444691.

Almost surely, 228762080054841 is an apocalyptic number.

28762080054841 is the 5363029-th square number.

28762080054841 is the 2681515-th centered octagonal number.

It is an amenable number.

28762080054841 is a deficient number, since it is larger than the sum of its proper divisors (5424964077206).

28762080054841 is an frugal number, since it uses more digits than its factorization.

28762080054841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32710 (or 16355 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 55.

The spelling of 28762080054841 in words is "twenty-eight trillion, seven hundred sixty-two billion, eighty million, fifty-four thousand, eight hundred forty-one".

Divisors: 1 7 47 49 329 2209 2303 15463 16301 108241 114107 766147 798749 5363029 36008909 37541203 252062363 265722601 1764436541 1860058207 12488962247 13020407449 87422735729 586981225609 611959150103 4108868579263 28762080054841