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28121948416 = 284722232
BaseRepresentation
bin11010001100001100…
…101110000100000000
32200120212101222221001
4122030030232010000
5430043204322131
620530302541344
72013613421542
oct321414560400
980525358831
1028121948416
1110a2111a091
125549b97854
132862277783
14150ac55692
15ae8d04261
hex68c32e100

28121948416 has 81 divisors (see below), whose sum is σ = 57612143631. Its totient is φ = 13700092416.

The previous prime is 28121948389. The next prime is 28121948417. The reversal of 28121948416 is 61484912182.

The square root of 28121948416 is 167696.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28121948417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 126107281 + ... + 126107503.

Almost surely, 228121948416 is an apocalyptic number.

28121948416 is the 167696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28121948416

28121948416 is an abundant number, since it is smaller than the sum of its proper divisors (29490195215).

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

28121948416 is an frugal number, since it uses more digits than its factorization.

28121948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 272 counting only the distinct ones).

The product of its digits is 221184, while the sum is 46.

The spelling of 28121948416 in words is "twenty-eight billion, one hundred twenty-one million, nine hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 223 256 376 446 752 892 1504 1784 2209 3008 3568 4418 6016 7136 8836 10481 12032 14272 17672 20962 28544 35344 41924 49729 57088 70688 83848 99458 141376 167696 198916 282752 335392 397832 492607 565504 670784 795664 985214 1341568 1591328 1970428 2337263 2683136 3182656 3940856 4674526 6365312 7881712 9349052 12730624 15763424 18698104 31526848 37396208 63053696 74792416 109851361 126107392 149584832 219702722 299169664 439405444 598339328 878810888 1757621776 3515243552 7030487104 14060974208 28121948416