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28280264000 = 26533535033
BaseRepresentation
bin11010010101101000…
…101001010101000000
32200222220022021002012
4122111220221111000
5430404221422000
620554120112052
72020545164162
oct322550512500
980886267065
1028280264000
1110aa2520a0a
125593005628
132888cc8631
141523ca6932
15b07b77735
hex695a29540

28280264000 has 56 divisors (see below), whose sum is σ = 70036093608. Its totient is φ = 11312102400.

The previous prime is 28280263981. The next prime is 28280264003. The reversal of 28280264000 is 46208282.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10549504 + 28269714496 = 3248^2 + 168136^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28280264003) 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, 1759517 + ... + 1775516.

Almost surely, 228280264000 is an apocalyptic number.

28280264000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28280264000 is an abundant number, since it is smaller than the sum of its proper divisors (41755829608).

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

28280264000 is an equidigital number, since it uses as much as digits as its factorization.

28280264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535060 (or 3535040 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 28280264000 in words is "twenty-eight billion, two hundred eighty million, two hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 3535033 7070066 14140132 17675165 28280264 35350330 56560528 70700660 88375825 113121056 141401320 176751650 226242112 282802640 353503300 441879125 565605280 707006600 883758250 1131210560 1414013200 1767516500 2828026400 3535033000 5656052800 7070066000 14140132000 28280264000