Search a number
-
+
28723573840 = 24513173315937
BaseRepresentation
bin11010110000000011…
…101111010001010000
32202010210110201212011
4122300003233101100
5432311213330330
621110113512304
72034540230533
oct326003572120
982123421764
1028723573840
11111aa788185
125697572694
132929ac2150
141566b02a1a
15b31a4382a
hex6b00ef450

28723573840 has 80 divisors (see below), whose sum is σ = 71965425168. Its totient is φ = 10598842368.

The previous prime is 28723573789. The next prime is 28723573873. The reversal of 28723573840 is 4837532782.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1031951376 + 27691622464 = 32124^2 + 166408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794352 + ... + 1810288.

Almost surely, 228723573840 is an apocalyptic number.

28723573840 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 28723573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35982712584).

28723573840 is an abundant number, since it is smaller than the sum of its proper divisors (43241851328).

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

28723573840 is a wasteful number, since it uses less digits than its factorization.

28723573840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17696 (or 17690 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 28723573840 in words is "twenty-eight billion, seven hundred twenty-three million, five hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1733 3466 6932 8665 13864 15937 17330 22529 27728 31874 34660 45058 63748 69320 79685 90116 112645 127496 138640 159370 180232 207181 225290 254992 318740 360464 414362 450580 637480 828724 901160 1035905 1274960 1657448 1802320 2071810 3314896 4143620 8287240 16574480 27618821 55237642 110475284 138094105 220950568 276188210 359044673 441901136 552376420 718089346 1104752840 1436178692 1795223365 2209505680 2872357384 3590446730 5744714768 7180893460 14361786920 28723573840