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28215891840 = 273552328099
BaseRepresentation
bin11010010001110011…
…000101011110000000
32200211102011211002010
4122101303011132000
5430241232014330
620543500252520
72016134060223
oct322163053600
980742154063
1028215891840
1110a6a154184
125575541140
13287887a5b6
14151950b5ba
15b021ae3b0
hex691cc5780

28215891840 has 128 divisors (see below), whose sum is σ = 90113328000. Its totient is φ = 7509583872.

The previous prime is 28215891811. The next prime is 28215891857. The reversal of 28215891840 is 4819851282.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×282158918402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28215891840.

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, 990111 + ... + 1018209.

It is an arithmetic number, because the mean of its divisors is an integer number (704010375).

Almost surely, 228215891840 is an apocalyptic number.

28215891840 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 28215891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45056664000).

28215891840 is an abundant number, since it is smaller than the sum of its proper divisors (61897436160).

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

28215891840 is a wasteful number, since it uses less digits than its factorization.

28215891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28644 (or 28632 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 28215891840 in words is "twenty-eight billion, two hundred fifteen million, eight hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 523 640 960 1046 1569 1920 2092 2615 3138 4184 5230 6276 7845 8368 10460 12552 15690 16736 20920 25104 28099 31380 33472 41840 50208 56198 62760 66944 83680 84297 100416 112396 125520 140495 167360 168594 200832 224792 251040 280990 334720 337188 421485 449584 502080 561980 674376 842970 899168 1004160 1123960 1348752 1685940 1798336 2247920 2697504 3371880 3596672 4495840 5395008 6743760 8991680 10790016 13487520 14695777 17983360 26975040 29391554 44087331 53950080 58783108 73478885 88174662 117566216 146957770 176349324 220436655 235132432 293915540 352698648 440873310 470264864 587831080 705397296 881746620 940529728 1175662160 1410794592 1763493240 1881059456 2351324320 2821589184 3526986480 4702648640 5643178368 7053972960 9405297280 14107945920 28215891840