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28824672 = 2531915803
BaseRepresentation
bin110110111110…
…1010001100000
32000020110000110
41231331101200
524334342142
62505451320
7500001642
oct155752140
960213013
1028824672
11152a8448
1297a0b40
135c83026
143b84892
1527e599c
hex1b7d460

28824672 has 48 divisors (see below), whose sum is σ = 79652160. Its totient is φ = 9101952.

The previous prime is 28824671. The next prime is 28824683. The reversal of 28824672 is 27642882.

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

It is a super-3 number, since 3×288246723 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28824672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28824671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6078 + ... + 9725.

It is an arithmetic number, because the mean of its divisors is an integer number (1659420).

Almost surely, 228824672 is an apocalyptic number.

It is an amenable number.

28824672 is an abundant number, since it is smaller than the sum of its proper divisors (50827488).

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

28824672 is a wasteful number, since it uses less digits than its factorization.

28824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15835 (or 15827 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 28824672 is about 5368.8613317909. The cubic root of 28824672 is about 306.6112775410.

The spelling of 28824672 in words is "twenty-eight million, eight hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 15803 31606 47409 63212 94818 126424 189636 252848 300257 379272 505696 600514 758544 900771 1201028 1517088 1801542 2402056 3603084 4804112 7206168 9608224 14412336 28824672