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28295001088 = 210251283389
BaseRepresentation
bin11010010110100000…
…110111010000000000
32201000221000222120021
4122112200313100000
5430422010013323
620555404023224
72021114353354
oct322640672000
981027028507
1028295001088
1110aaa877122
125597b31b14
13288c0883c3
141525c21464
15b090d905d
hex696837400

28295001088 has 88 divisors (see below), whose sum is σ = 57134881440. Its totient is φ = 14005248000.

The previous prime is 28295001073. The next prime is 28295001089. The reversal of 28295001088 is 88010059282.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28295001089) 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 7 ways as a sum of consecutive naturals, for example, 72737598 + ... + 72737986.

Almost surely, 228295001088 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 28295001088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28567440720).

28295001088 is an abundant number, since it is smaller than the sum of its proper divisors (28839880352).

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

28295001088 is a wasteful number, since it uses less digits than its factorization.

28295001088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The spelling of 28295001088 in words is "twenty-eight billion, two hundred ninety-five million, one thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 251 256 283 389 502 512 566 778 1004 1024 1132 1556 2008 2264 3112 4016 4528 6224 8032 9056 12448 16064 18112 24896 32128 36224 49792 64256 71033 72448 97639 99584 110087 128512 142066 144896 195278 199168 220174 257024 284132 289792 390556 398336 440348 568264 781112 880696 1136528 1562224 1761392 2273056 3124448 3522784 4546112 6248896 7045568 9092224 12497792 14091136 18184448 24995584 27631837 28182272 36368896 49991168 55263674 56364544 72737792 99982336 110527348 112729088 221054696 442109392 884218784 1768437568 3536875136 7073750272 14147500544 28295001088