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28734497280 = 2936589173
BaseRepresentation
bin11010110000101101…
…011010001000000000
32202011120000201000000
4122300231122020000
5432322012403110
621111144000000
72035032124356
oct326055321000
982146021000
1028734497280
1111205969115
12569b160000
13292c148118
1415683477d6
15b329a01c0
hex6b0b5a200

28734497280 has 560 divisors, whose sum is σ = 105060340440. Its totient is φ = 7532642304.

The previous prime is 28734497263. The next prime is 28734497291. The reversal of 28734497280 is 8279443782.

It is a happy number.

28734497280 is a `hidden beast` number, since 2 + 8 + 73 + 4 + 497 + 2 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24591257856 + 4143239424 = 156816^2 + 64368^2 .

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 166095274 + ... + 166095446.

Almost surely, 228734497280 is an apocalyptic number.

28734497280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28734497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52530170220).

28734497280 is an abundant number, since it is smaller than the sum of its proper divisors (76325843160).

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

28734497280 is an frugal number, since it uses more digits than its factorization.

28734497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 28734497280 in words is "twenty-eight billion, seven hundred thirty-four million, four hundred ninety-seven thousand, two hundred eighty".