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28984381504 = 2613216372
BaseRepresentation
bin11010111111100110…
…101001000001000000
32202210222020010201021
4122333212221001000
5433330000202004
621152031515224
72044155114661
oct327746510100
982728203637
1028984381504
1111323a22901
12574a988b14
13296bb49c00
14158d5d3368
15b498aed54
hex6bf9a9040

28984381504 has 63 divisors (see below), whose sum is σ = 62318580087. Its totient is φ = 13369234944.

The previous prime is 28984381493. The next prime is 28984381549. The reversal of 28984381504 is 40518348982.

The square root of 28984381504 is 170248.

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 20549795904 + 8434585600 = 143352^2 + 91840^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 17704974 + ... + 17706610.

Almost surely, 228984381504 is an apocalyptic number.

28984381504 is the 170248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28984381504

28984381504 is an abundant number, since it is smaller than the sum of its proper divisors (33334198583).

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

28984381504 is an frugal number, since it uses more digits than its factorization.

28984381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 28984381504 in words is "twenty-eight billion, nine hundred eighty-four million, three hundred eighty-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 1637 2704 3274 5408 6548 10816 13096 21281 26192 42562 52384 85124 104768 170248 276653 340496 553306 680992 1106612 1361984 2213224 2679769 4426448 5359538 8852896 10719076 17705792 21438152 34836997 42876304 69673994 85752608 139347988 171505216 278695976 452880961 557391952 905761922 1114783904 1811523844 2229567808 3623047688 7246095376 14492190752 28984381504