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28813924224 = 273225012087
BaseRepresentation
bin11010110101011100…
…011001011110000000
32202101002111000021200
4122311130121132000
5433002331033344
621123102221200
72040015212661
oct326534313600
982332430250
1028813924224
1111246788818
125701884800
132942737707
141574b01368
15b3993e069
hex6b5719780

28813924224 has 48 divisors (see below), whose sum is σ = 82915071720. Its totient is φ = 9604641024.

The previous prime is 28813924207. The next prime is 28813924247. The reversal of 28813924224 is 42242931882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28813924224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12504892 + ... + 12507195.

Almost surely, 228813924224 is an apocalyptic number.

28813924224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28813924224 is an abundant number, since it is smaller than the sum of its proper divisors (54101147496).

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

28813924224 is a wasteful number, since it uses less digits than its factorization.

28813924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25012107 (or 25012092 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 28813924224 in words is "twenty-eight billion, eight hundred thirteen million, nine hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 25012087 50024174 75036261 100048348 150072522 200096696 225108783 300145044 400193392 450217566 600290088 800386784 900435132 1200580176 1600773568 1800870264 2401160352 3201547136 3601740528 4802320704 7203481056 9604641408 14406962112 28813924224