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28029329424 = 243421627569
BaseRepresentation
bin11010000110101011…
…011010000000010000
32200100102010110120000
4122012223122000100
5424401002020144
620513153450000
72011410240405
oct320653320020
980312113500
1028029329424
111098390a068
125522b70900
132849019735
1414dc8262ac
15ae0b0b769
hex686ada010

28029329424 has 50 divisors (see below), whose sum is σ = 81125015070. Its totient is φ = 9343109376.

The previous prime is 28029329407. The next prime is 28029329459. The reversal of 28029329424 is 42492392082.

28029329424 is a `hidden beast` number, since 280 + 2 + 9 + 329 + 42 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27902361600 + 126967824 = 167040^2 + 11268^2 .

It is a super-2 number, since 2×280293294242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28029329424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10812489 + ... + 10815080.

Almost surely, 228029329424 is an apocalyptic number.

28029329424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28029329424 is an abundant number, since it is smaller than the sum of its proper divisors (53095685646).

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

28029329424 is a wasteful number, since it uses less digits than its factorization.

28029329424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21627589 (or 21627574 counting only the distinct ones).

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

The spelling of 28029329424 in words is "twenty-eight billion, twenty-nine million, three hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 21627569 43255138 64882707 86510276 129765414 173020552 194648121 259530828 346041104 389296242 519061656 583944363 778592484 1038123312 1167888726 1557184968 1751833089 2335777452 3114369936 3503666178 4671554904 7007332356 9343109808 14014664712 28029329424