Search a number
-
+
28948976022400 = 275271292365001
BaseRepresentation
bin1101001010100001101010…
…11011101011001110000000
310210111111100220122201011221
412211100311123223032000
512243300000330204100
6141322550451444424
76045331420110040
oct645206533531600
9123444326581157
1028948976022400
1192512122a2635
1232b66095b6714
13131cb5221cab5
147211d0623720
15353068d5201a
hex1a54356eb380

28948976022400 has 96 divisors (see below), whose sum is σ = 81729162726480. Its totient is φ = 9925363200000.

The previous prime is 28948976022377. The next prime is 28948976022401. The reversal of 28948976022400 is 422067984982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28948976022401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646160101 + ... + 646204900.

Almost surely, 228948976022400 is an apocalyptic number.

28948976022400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28948976022400 is an abundant number, since it is smaller than the sum of its proper divisors (52780186704080).

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

28948976022400 is a wasteful number, since it uses less digits than its factorization.

28948976022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292365032 (or 1292365015 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 28948976022400 in words is "twenty-eight trillion, nine hundred forty-eight billion, nine hundred seventy-six million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 1292365001 2584730002 5169460004 6461825005 9046555007 10338920008 12923650010 18093110014 20677840016 25847300020 32309125025 36186220028 41355680032 45232775035 51694600040 64618250050 72372440056 82711360064 90465550070 103389200080 129236500100 144744880112 165422720128 180931100140 206778400160 226163875175 258473000200 289489760224 361862200280 413556800320 452327750350 516946000400 578979520448 723724400560 827113600640 904655500700 1033892000800 1157959040896 1447448801120 1809311001400 2067784001600 2894897602240 3618622002800 4135568003200 5789795204480 7237244005600 14474488011200 28948976022400