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28857072528 = 2433331201809
BaseRepresentation
bin11010111000000000…
…111111101110010000
32202111002200011122000
4122320000333232100
5433044402310103
621131243114000
72041051032534
oct327000775620
982432604560
1028857072528
1111269079779
125714212900
13294b66425b
14157a733bc4
15b3d613aa3
hex6b803fb90

28857072528 has 80 divisors (see below), whose sum is σ = 83081140800. Its totient is φ = 9589916160.

The previous prime is 28857072527. The next prime is 28857072577. The reversal of 28857072528 is 82527075882.

28857072528 is a `hidden beast` number, since 28 + 8 + 570 + 7 + 25 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28857072527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42088 + ... + 243896.

It is an arithmetic number, because the mean of its divisors is an integer number (1038514260).

Almost surely, 228857072528 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 28857072528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41540570400).

28857072528 is an abundant number, since it is smaller than the sum of its proper divisors (54224068272).

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

28857072528 is a wasteful number, since it uses less digits than its factorization.

28857072528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202157 (or 202145 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 28857072528 in words is "twenty-eight billion, eight hundred fifty-seven million, seventy-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 331 432 662 993 1324 1986 2648 2979 3972 5296 5958 7944 8937 11916 15888 17874 23832 35748 47664 71496 142992 201809 403618 605427 807236 1210854 1614472 1816281 2421708 3228944 3632562 4843416 5448843 7265124 9686832 10897686 14530248 21795372 29060496 43590744 66798779 87181488 133597558 200396337 267195116 400792674 534390232 601189011 801585348 1068780464 1202378022 1603170696 1803567033 2404756044 3206341392 3607134066 4809512088 7214268132 9619024176 14428536264 28857072528