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28213249024 = 2102921812
BaseRepresentation
bin11010010001101001…
…000000010000000000
32200211020012112211001
4122101221000100000
5430240042432044
620543323501344
72016102442222
oct322151002000
980736175731
1028213249024
1110a68709634
125574687854
1328781636bc
141519020412
15b01d3b2d4
hex691a40400

28213249024 has 99 divisors (see below), whose sum is σ = 58735293591. Its totient is φ = 13544939520.

The previous prime is 28213248997. The next prime is 28213249033. The reversal of 28213249024 is 42094231282.

It is a happy number.

The square root of 28213249024 is 167968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10492314624 + 17720934400 = 102432^2 + 133120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155874214 + ... + 155874394.

Almost surely, 228213249024 is an apocalyptic number.

28213249024 is the 167968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28213249024

28213249024 is an abundant number, since it is smaller than the sum of its proper divisors (30522044567).

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

28213249024 is an frugal number, since it uses more digits than its factorization.

28213249024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 28213249024 in words is "twenty-eight billion, two hundred thirteen million, two hundred forty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 181 232 256 362 464 512 724 841 928 1024 1448 1682 1856 2896 3364 3712 5249 5792 6728 7424 10498 11584 13456 14848 20996 23168 26912 29696 32761 41992 46336 53824 65522 83984 92672 107648 131044 152221 167968 185344 215296 262088 304442 335936 430592 524176 608884 671872 861184 950069 1048352 1217768 1343744 1900138 2096704 2435536 2687488 3800276 4193408 4871072 5374976 7600552 8386816 9742144 15201104 16773632 19484288 27552001 30402208 33547264 38968576 55104002 60804416 77937152 110208004 121608832 155874304 220416008 243217664 440832016 486435328 881664032 972870656 1763328064 3526656128 7053312256 14106624512 28213249024