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28610861568 = 29345740759
BaseRepresentation
bin11010101001010101…
…110001101000000000
32201211221101100200120
4122221111301220000
5432043340032233
621051010020240
72032001211402
oct325125615000
981757340616
1028610861568
11111520a3843
125665877680
13290c64a3b3
141555b62b72
15b26bcc4b3
hex6a9571a00

28610861568 has 80 divisors (see below), whose sum is σ = 76389783360. Its totient is φ = 9515851776.

The previous prime is 28610861567. The next prime is 28610861579. The reversal of 28610861568 is 86516801682.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28610861568.

It is not an unprimeable number, because it can be changed into a prime (28610861567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681573 + ... + 722331.

It is an arithmetic number, because the mean of its divisors is an integer number (954872292).

Almost surely, 228610861568 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 28610861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38194891680).

28610861568 is an abundant number, since it is smaller than the sum of its proper divisors (47778921792).

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

28610861568 is an equidigital number, since it uses as much as digits as its factorization.

28610861568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41237 (or 41221 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 28610861568 in words is "twenty-eight billion, six hundred ten million, eight hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 457 512 768 914 1371 1536 1828 2742 3656 5484 7312 10968 14624 21936 29248 40759 43872 58496 81518 87744 116992 122277 163036 175488 233984 244554 326072 350976 489108 652144 701952 978216 1304288 1956432 2608576 3912864 5217152 7825728 10434304 15651456 18626863 20868608 31302912 37253726 55880589 62605824 74507452 111761178 149014904 223522356 298029808 447044712 596059616 894089424 1192119232 1788178848 2384238464 3576357696 4768476928 7152715392 9536953856 14305430784 28610861568