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28982944 = 252353743
BaseRepresentation
bin110111010001…
…1111010100000
32000112111010101
41232203322200
524404423234
62513112144
7501231244
oct156437240
960474111
1028982944
11153a6351
129858654
13600a093
143bc6424
152827814
hex1ba3ea0

28982944 has 48 divisors (see below), whose sum is σ = 60746112. Its totient is φ = 13581568.

The previous prime is 28982929. The next prime is 28982953. The reversal of 28982944 is 44928982.

It is a super-2 number, since 2×289829442 = 1680022085814272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 28982894 and 28982903.

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 7 ways as a sum of consecutive naturals, for example, 38637 + ... + 39379.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 228982944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28982944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30373056).

28982944 is an abundant number, since it is smaller than the sum of its proper divisors (31763168).

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

28982944 is a wasteful number, since it uses less digits than its factorization.

28982944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 28982944 is about 5383.5809643768. The cubic root of 28982944 is about 307.1714392212.

It can be divided in two parts, 289 and 82944, that multiplied together give a square (23970816 = 48962).

The spelling of 28982944 in words is "twenty-eight million, nine hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 736 743 848 1219 1486 1696 2438 2972 4876 5944 9752 11888 17089 19504 23776 34178 39008 39379 68356 78758 136712 157516 273424 315032 546848 630064 905717 1260128 1811434 3622868 7245736 14491472 28982944