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28691805975 = 3527236138953
BaseRepresentation
bin11010101110001010…
…100011011100010111
32202001120200202112120
4122232022203130113
5432230100242400
621103020551023
72034003220050
oct325612433427
982046622476
1028691805975
111119385a548
1256889b2473
13292334b5b1
1415627d3727
15b2dd6aca0
hex6ae2a3717

28691805975 has 96 divisors (see below), whose sum is σ = 57499843584. Its totient is φ = 12339993600.

The previous prime is 28691805973. The next prime is 28691805997. The reversal of 28691805975 is 57950819682.

It is not a de Polignac number, because 28691805975 - 21 = 28691805973 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28691805973) 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 95 ways as a sum of consecutive naturals, for example, 717099 + ... + 756051.

It is an arithmetic number, because the mean of its divisors is an integer number (598956704).

Almost surely, 228691805975 is an apocalyptic number.

28691805975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28691805975 is an abundant number, since it is smaller than the sum of its proper divisors (28808037609).

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

28691805975 is a wasteful number, since it uses less digits than its factorization.

28691805975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39057 (or 39052 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 60.

The spelling of 28691805975 in words is "twenty-eight billion, six hundred ninety-one million, eight hundred five thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 15 21 23 25 35 61 69 75 105 115 161 175 183 305 345 427 483 525 575 805 915 1281 1403 1525 1725 2135 2415 4025 4209 4575 6405 7015 9821 10675 12075 21045 29463 32025 35075 38953 49105 105225 116859 147315 194765 245525 272671 584295 736575 818013 895919 973825 1363355 2376133 2687757 2921475 4090065 4479595 6271433 6816775 7128399 11880665 13438785 16632931 18814299 20450325 22397975 31357165 35641995 49898793 54651059 59403325 67193925 83164655 94071495 156785825 163953177 178209975 249493965 273255295 382557413 415823275 470357475 819765885 1147672239 1247469825 1366276475 1912787065 4098829425 5738361195 9563935325 28691805975