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28193346832 = 247717944879
BaseRepresentation
bin11010010000011101…
…000101010100010000
32200202211202102010211
4122100131011110100
5430214444044312
620541333133504
72015441331310
oct322035052420
980684672124
1028193346832
1110a58455842
125569a8a294
132873cb5961
14151651d440
15b002093a7
hex690745510

28193346832 has 80 divisors (see below), whose sum is σ = 64110182400. Its totient is φ = 11761626240.

The previous prime is 28193346823. The next prime is 28193346833. The reversal of 28193346832 is 23864339182.

It is not an unprimeable number, because it can be changed into a prime (28193346833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605769 + ... + 650647.

It is an arithmetic number, because the mean of its divisors is an integer number (801377280).

Almost surely, 228193346832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28193346832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32055091200).

28193346832 is an abundant number, since it is smaller than the sum of its proper divisors (35916835568).

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

28193346832 is a wasteful number, since it uses less digits than its factorization.

28193346832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45044 (or 45038 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

The spelling of 28193346832 in words is "twenty-eight billion, one hundred ninety-three million, three hundred forty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 79 112 142 158 284 316 497 553 568 632 994 1106 1136 1264 1988 2212 3976 4424 5609 7952 8848 11218 22436 39263 44872 44879 78526 89744 89758 157052 179516 314104 314153 359032 628208 628306 718064 1256612 2513224 3186409 3545441 5026448 6372818 7090882 12745636 14181764 22304863 24818087 25491272 28363528 44609726 49636174 50982544 56727056 89219452 99272348 178438904 198544696 251726311 356877808 397089392 503452622 1006905244 1762084177 2013810488 3524168354 4027620976 7048336708 14096673416 28193346832