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28349130384 = 243615592
BaseRepresentation
bin11010011001101111…
…010110011010010000
32201011200220001000000
4122121233112122100
5431024334133014
621005020130000
72022342426621
oct323157263220
981150801000
1028349130384
1111028388283
1255b2096900
13289a35b183
14152d0b1a48
15b0dc2c509
hex699bd6690

28349130384 has 105 divisors (see below), whose sum is σ = 82404845203. Its totient is φ = 9443648736.

The previous prime is 28349130379. The next prime is 28349130413. The reversal of 28349130384 is 48303194382.

The square root of 28349130384 is 168372.

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

28349130384 is a `hidden beast` number, since 2 + 83 + 491 + 3 + 0 + 3 + 84 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18183397 + ... + 18184955.

Almost surely, 228349130384 is an apocalyptic number.

28349130384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28349130384 is the 168372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28349130384

28349130384 is an abundant number, since it is smaller than the sum of its proper divisors (54055714819).

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

28349130384 is an frugal number, since it uses more digits than its factorization.

28349130384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28349130384 in words is "twenty-eight billion, three hundred forty-nine million, one hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1559 1944 2916 3118 3888 4677 5832 6236 9354 11664 12472 14031 18708 24944 28062 37416 42093 56124 74832 84186 112248 126279 168372 224496 252558 336744 378837 505116 673488 757674 1010232 1136511 1515348 2020464 2273022 2430481 3030696 4546044 4860962 6061392 7291443 9092088 9721924 14582886 18184176 19443848 21874329 29165772 38887696 43748658 58331544 65622987 87497316 116663088 131245974 174994632 196868961 262491948 349989264 393737922 524983896 590606883 787475844 1049967792 1181213766 1574951688 1771820649 2362427532 3149903376 3543641298 4724855064 7087282596 9449710128 14174565192 28349130384